A new soft drink is being market tested. A sample of 400 individuals participated in the taste test and 80 indicated they like the taste. At 95% confidence, test to determine if at least 22% of the population will like the new soft drink.


Required:

Determine the p-value.

Answers

Answer 1

Answer: p-value of the test  = 0.167

Step-by-step explanation:

Given that,

sample size n = 400

sample success X = 80

confidence = 95%

significance level = 1 - (95/100) = 0.05

This is the left tailed test .

The null and alternative hypothesis is

H₀ : p = 0.22

Hₐ : p < 0.22

P = x/n = 80/400 = 0.2

Standard deviation of proportion α = √{  (p ( 1 - p ) / n }

α = √ { ( 0.22 ( 1 - 0.22 ) / 400 }

α = √ { 0.1716 / 400 }

α = √0.000429

α = 0.0207

Test statistic

z = (p - p₀) / α

z = ( 0.2 - 0.22 ) / 0.0207

z = - 0.02 / 0.0207

z = - 0.9661

fail to reject null hypothesis.

P-value Approach

P-value = 0.167

As P-value >= 0.05, fail to reject null hypothesis.

Since test is left tailed so p-value of the test is 0.167. Since p-value is greater than 0.05 so we fail to reject the null hypothesis.


Related Questions

Design a nonlinear system that has at least two solutions. One solution must be the ordered pair: (-2, 5). Tell how you came up with your system and give the entire solution set for the system.

Answers

Answer:

[tex] \begin{cases} (x - 2)^2 + (y - 2)^2 = 25 \\ y = 5 \end{cases} [/tex]

Solutions: x = 6, y = 5   or   x = -2, y = 5

Step-by-step explanation:

Use a graph.

Plot point (-2, 5). That will be a point on a circle with radius 5.

From point (-2, 5), go right 4 and down 3 to point (2, 2). (2, 2) is the center of the circle.

You now need the equation of a circle with center (2, 2) and radius 5.

Use the standard equation of a circle:

[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]

where (h, k) is the center and 5 is the radius.

The circle has equation:

[tex] (x - 2)^2 + (y - 2)^2 = 25 [/tex]

To have a single solution, you need the equation of the line tangent to the circle at (-2, 5), but since you want more than one solution, you need the equation of a secant to the circle. For example, use the equation of the horizontal line through point (2, 5) which is y = 5.

System:

[tex] \begin{cases} (x - 2)^2 + (y - 2)^2 = 25 \\ y = 5 \end{cases} [/tex]

To solve, let y = 5 in the equation of the circle.

(x - 2)^2 + (5 - 2)^2 = 25

(x - 2)^2 + 9 = 25

(x - 2)^2 = 16

x - 2 = 4  or x - 2 = -4

x = 6 or x = -2

Solutions: x = 6, y = 5   or   x = -2, y = 5

An example of a nonlinear system that has at least two solutions, one of which is (-2,5) are,

⇒ x² + y² = 29

⇒ 3x + 4y = -2

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, This system by starting with the equation of a circle centered at the origin with radius sqrt(29), which is,

⇒ x² + y² = 29.

Then, Added a linear equation that intersects the circle at (-2,5) to create a system with two solutions.

The entire solution set for this system is: (-2, 5) and (7/5, -19/10)

Thus, An example of a nonlinear system that has at least two solutions, one of which is (-2,5) are,

⇒ x² + y² = 29

⇒ 3x + 4y = -2

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Write the phrase "the product of 19 and a number" as a mathematical expression.
A 19 + x
B) 19/x
C) 19 x
(D) 19 -x​

Answers

Answer:

19x

Step-by-step explanation:

product means multiply

19*x

19x

Answer:

The answer is C.

Step-by-step explanation:

if a number and a variable are next to each other, it is assumed they will be multiplied.

Hey! i've been working on these questions but I have no idea how to solve this one, could anybody help me? Thanks in advance!

Answers

Answer:

1) [tex]\boxed{p(x) = x^3-x^2+x-1}[/tex]

2) [tex]\boxed{p(x) = x^2+x-2}[/tex]

3) [tex]\boxed{p(x) =- 2x^2+2x+4}[/tex]

4) [tex]\boxed{p(x) = 2x^2+x-4}[/tex]

Step-by-step explanation:

Part (1)

[tex]p(x) = x^3-x^2+x-1[/tex]

As we have to determine it by ourselves, this is the polynomial having a degree of 3. p(x) with a degree of 3 means that the highest degree/exponent of x should be 3.

Part (2)

[tex]p(x) = x^2+x-2[/tex]

This can be the polynomial having the factor x-1 because if we put:

x - 1 = 0 =>  x = 1 in the above polynomial, it gives us a result of zero which shows us that (x-1) "is" a factor of the polynomial.

Part (3)

[tex]p(x) = -2x^2+2x+4[/tex]

This can be the polynomial for which p(0) = 4 and p(-1) = 0

Let's check:

[tex]p(0) =- 2(0)^2+2(0)+4\\p(0) = 0 + 0+4\\p(0) = 4[/tex]

[tex]p(-1)= -2(-1)^2+2(-1)+4\\p(-1) = -2(1)-2+4\\p(-1) = -2-2+4\\p(-1) = 0[/tex]

So, this is the required polynomial determined by "myself".

Part (4):

[tex]p(x) = 2x^2+x-4[/tex]

This is the polynomial having a remainder 6 when divided by (x-2)

Let's check:

Let x - 2 = 0 => x = 2

Putting in the above polynomial

[tex]p(x) = 2(2)^2+(2)-4\\Given \ that \ Remainder = 6\\6 = 2(4) +2-4\\6 = 8+2-4\\6 = 10-4\\6 = 6[/tex]

So, Proved that it has a remainder of 6 when divided by (x-2)

Simplify (x + 4)(x2 − 6x + 3). x3 − 14x2 + 3x + 12 x3 − 6x2 − 17x + 12 x3 − 10x2 − 27x + 12 x3 − 2x2 − 21x + 12

Answers

Answer:

36 x^3 - 32 x^2 + (x + 4) (x^2 - 6 x + 3).x^3 - 62 x + 12

Step-by-step explanation:

Answer:

x^6-2x^5-21x^4+48x^3-32x^2-62x+12

Step-by-step explanation:

Mark me as brainliest!!!!

Find the volume of the solid. When​ appropriate, use π=3.14 and round your answer to the nearest hundredth.

Answers

Answer:

3179.25

Step-by-step explanation:

Hello!

To find the volume of a cylinder we use the equation

[tex]V = \pi r^{2} h[/tex]

V is volume

r is radius

h is height

Put in what we know. It is says to use pi as 3.14

[tex]V = 3.14 * 7.5^{2} *18[/tex]

Solve

V = 3.14 * 56.25 * 18

V = 3179.25

Hope this Helps!

If the item regularly cost d dollars and is discounted 12percent which of the following represents discount price dollar

Answers

Answer:

-12

Step-by-step explanation:

The value of y varies jointly with x and z. If y = 2 when z = 110 and x = 11, find the approximate value of y when x = 13 and z = 195.

Answers

Answer:

y = 4

Step-by-step explanation:

To find the approximate value of y when

x = 13 and z = 195 we must first find the relationship between them

The statement

y varies jointly with x and z is written as

y = kxz

where k is the constant of proportionality

From the question

y = 2

x = 11

z = 110

We have

2 = 11(110)k

2 = 1210k

Divide both sides by 1210

[tex]k = \frac{1}{605} [/tex]

So the formula for the variation is

[tex]y = \frac{1}{605} xz[/tex]

When

x = 13

z = 195

y is

[tex]y = \frac{1}{605} (13)(195)[/tex]

[tex]y = \frac{507}{121} [/tex]

y = 4.1900

We have the final answer as

y = 4

Hope this helps you

Decide if the situation involves​ permutations, combinations, or neither. Explain your reasoning. Does the situation involve​ permutations, combinations, or​ neither? Choose the correct answer below. A. B. C. Neither. A line of people is neither an ordered arrangement of​ objects, nor a selection of objects from a group of objects.

Answers

Answer:

C. Neither

Step-by-step explanation:

The permutation is a selection of objects from a given sample in an ordered manner .

The combination is a selection of objects from a given sample irrespective of an order of arrangement.

The given line of people is neither an ordered arrangement of​ objects, nor a selection of objects from a group of objects So it fits neither of the combinations or permutations.

So the best answer is neither.

Given there are 26 alphabets in the English language, how many possible three-letter words are there?

Answers

Answer: 17,576

We have 26 letters and 3 slots to fill. We can reuse a letter if it has been picked, so we have 26^3 = 26*26*26 = 17,576 different three letter "words". I put that in quotes because a lot of the words aren't actual words, but more just a sequence of letters.

Assume that when adults with smartphones are randomly​ selected, ​57% use them in meetings or classes. If 8 adult smartphone users are randomly​ selected, find the probability that exactly 4 of them use their smartphones in meetings or classes. The probability is

Answers

Answer:

≈ 0.2526

Step-by-step explanation:

The number of combinations of 4 out of 8:

8C4 = 8!/(4!(8-4)!)= 8*7*6*5/(1*2*3*4)= 70

Success factor is:

57% = 0.57

and failure factor is:

(100 - 57)%= 43%= 0.43

Probability:

0.57⁴*0.43⁴*70 ≈ 0.2526

What is the probability of drawing 3 kings and 2 aces in a 5 card hand of poker?

Answers

Answer:

the probability of getting 3 aces and 2 kings when you draw 5 cards from the deck is 24 / 2598960 = 9.234463016 * 10^-6.

Step-by-step explanation:

the number of ways you can get 3 aces out of 4 aces is c(4,3) = 4.

the number of ways you can get 2 kings out of 4 kings is c(4,2) = 6.

the number of ways you can get 2 kings and 3 aces is 4 * 6 = 24.

the number of ways you can get 5 cards out of a deck of 52 cards is c(52,5) = 2598960.

A kites string is fastened to the ground. the string is 324ft long and makes an angle of 68 degrees with the ground. A model of this is shown below. use the law of sites (sin A/a=sin B/b) to determine how many feet the kite is above the ground (x). Enter the value, rounded to the nearest foot. (PLEASE)​

Answers

Answer:

x = 300 feet

Step-by-step explanation:

In the given right triangle,

Length of the string of the kite = 324 feet

Angle between the string and the ground = 68°

By applying law of Sines in the given right triangle,

[tex]\frac{\text{SinA}}{a}=\frac{\text{SinB}}{b}=\frac{\text{SinC}}{c}[/tex]

Now we substitute the values of angles and sides in the formula,

[tex]\frac{\text{Sin68}}{x}=\frac{\text{Sin90}}{324}[/tex]

[tex]\frac{\text{Sin68}}{x}=\frac{1}{324}[/tex]

x = 324 × Sin(68)°

x = 300.41 feet

x ≈ 300 feet

Therefore, measure of side x = 300 feet will be the answer.

Which statement about this function is true?
O A.
The value of a is positive, so the vertex is a minimum.
OB.
The value of a is negative, so the vertex is a minimum.
OC.
The value of a is negative, so the vertex is a maximum.
OD
The value of a is positive, so the vertex is a maximum.

Answers

Answer:

b

Step-by-step explanation:

The value of a is negative, so the vertex is a minimum.

B the value of a is negative, so the vertex is a minimum

1. If a bug can flap its wings at a rate of 92 times in 6 seconds, how many times do they flap their wings in 2.34 minutes? Round to 1 decimal.

Answers

Answer:

2152.8

Step-by-step explanation:

First, 2.34 minutes is 140.4 seconds. Next, the bug can flap its wings at a pace of 15.333..... flaps per second. Multiplying this, we get 2152.8

NEED HELP ASAP

Which is best described as a part of the interior of a circle bounded by an arc
and the two radii that share the are's endpoints?

Answers

Answer:

The answer is sector. B.

Good day!

The polynomial P(x) = 5x2(x − 1)3(x + 9) has degree ____ It has zeros 0, 1, and ____ The zero 0 has multiplicity ____ , and the zero 1 has multiplicity ____

Answers

The complete question is;

The polynomial P(x) = 5x²(x − 1)³(x + 9) has degree ____. It has zeros 0, 1, and ____. The zero 0 has multiplicity ____ , and the zero 1 has multiplicity ____

Answer:

A) degree = 6

B) -9 is also a zero of the polynomial

C) 0 has multiplicity of 2

1 has multiplicity of 3

Step-by-step explanation:

A) To find the degree of the polynomial, we will first have to identify each term [term is for example (x - 1)³]. Thus, to find the degree of each term we will add the exponents.

The terms are;

5x², (x - 1)³, (x + 9)

The exponents are, 2, 3 and 1 respectively.

Thus, degree = 2 + 3 + 1 = 6

B) A zero of a polynomial is the value of x that causes the polynomial function to equal 0.

Since 0 and 1 are zeros, looking at the polynomial P(x) = 5x²(x − 1)³(x + 9), we can tell that when the term which when x = 0 makes the polynomial 0 is 5x².

Similarly, the term which when x = 1 makes the polynomial 0 is (x - 1)³

Thus,we are left with the term (x + 9)

So for the polynomial to be zero, (x + 9) = 0

Thus,x = -9

So -9 is a zero of the polynomial

C) The zero 0 is from the term 5x².

Thus,the multiplicity is the highest power of x which is 2.

The zero 1 is from the term (x - 1)³. Thus, the multiplicity is the highest power of x which is 3

1. What is the value of (1/2)^3?
O A. 76
O B. 119
O C.12
O D. 18​

Answers

Answer:

1/2 to the power of 3= 1/8

Step-by-step explanation:

1/2*1/2=1/4

1/4*1/2=1/8

d?

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{(\dfrac{1}{2})^3}[/tex]

[tex]\mathsf{= \dfrac{1}{2}^3}[/tex]

[tex]\mathsf{= \dfrac{1}{2} \times \dfrac{1}{2} \times \dfrac{1}{2}}[/tex]

[tex]\mathsf{= \dfrac{1 \times 1 \times 1}{2 \times 2 \times 2}}[/tex]

[tex]\mathsf{\mathsf{= \dfrac{1 \times 1} {4 \times 2}}}[/tex]

[tex]\mathsf{= \dfrac{1}{8}}[/tex]



[tex]\huge\text{Therefore your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{Option\ D.\ \dfrac{1}{8}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]



~[tex]\frak{Amphitrite1040:)}[/tex]

Find the equation of the line passing through the point (–1, –2) and perpendicular to the line y = –1∕2x + 5. Question options: A) y = –1∕2x – 5∕2 B) y = 1∕2x – 5∕2 C) y = 2x D) y = –1∕2x

Answers

Answer:

The answer is option C

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

From the question

y = - 1/2x + 5

Comparing with the general equation above

Slope / m = -1/2

Since the lines are perpendicular to each other the slope of the other line is the negative inverse of the original line

That's

Slope of the perpendicular line = 2

Equation of the line using point (–1, –2) and slope 2 is

y + 2 = 2( x + 1)

y + 2 = 2x + 2

y = 2x + 2 - 2

We have the final answer as

y = 2x

Hope this helps you

Answer:

C) y = 2x

Step-by-step explanation:

I got it right in the test !!

Someone help again:/

Answers

A = 2(6)(8)/2 + 8(7) + 7(10) + 6(7)
A = 146 sq m
Therefore the surface area of the triangular prism is 146 m^2.

This graph shows the US unemployment rate from August 2010 to November 2011.
Sample Unemployment Rate
Graph
Unemployment Rate
10%
80%
6%
Unemployment Rate
Aug 10
Jan 11
Jun 11
Nov 11
This graph suggests unemployment in the United States
O will continue to fall.
O will continue to rise.
O will remain the same.
O will only change a little.

Answers

Answer: Will continue to rise

Step-by-step explanation:

Looking at the graph one notices that after a slight dip in the unemployment rate from August 2010 to January 2011, the unemployment rate began to rise and by November 2011 was still rising.

The arrow on the graph serves to indicate the direction the unemployment rate is going and as it is pointing upwards, this means that the Unemployment rate will continue to rise.

This was down to the fact that in 2011 the US was still yet to recover from the Great Recession of 2008 - 2009.

Answer:

EDGE 2021

Step-by-step explanation:

1) 4%

2) Increase

simplify the expression 10 divided by 5 times 3

Answers

Answer:

= 2/3

Step-by-step explanation:

10 / (5*3)

= 10/15

= 2/3

I need help with these

Answers

Answer:

2. 20 oranges

3. 18 yellow tulips

4. 23 students

Find the area of the shaded regions:

Answers

Answer: 125.6 in^2

Step-by-step explanation:

First, we have that the radius of this circle is r = 10in

Now, we know that the area of a circle is:

A = pi*r^2

Now, if we got only a section of the circle, defined by an angle x, then the area of that region is:

A = (x/360°)*pi*r^2

Notice that if x = 360°, then the area is the same as the area of the full circle, as expected.

Then each shaded area has an angle of 72°.

A = (72°/360°)*3.14*(10in)^2 = 62.8 in^2

And we have two of those, both of them with the same angle, so the total shaded area is:

2*A = 2*62.8 in^2 = 125.6 in^2

Look at the picture

Answers

Answer:

f(x) = {x^2 if x = (-inf , 2) , y = 5 if x [2, 4).  

Step-by-step explanation:

First, we look at the quadratic. Luckily, it's only x^2. Putting in the range, we have f(x) = x^2 if x < 2, or (-inf, 2).

Then, we have the line. This is the line of y = 5, and the range is if 2 [tex]\leq[/tex] x < 4, or [2, 4).

 evaluate the expression for r=-10 -54-r=

Answers

Answer:

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.

Step-by-step explanation:

Evaluate Algebraic Expressions. ... To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.

What is the factorization of the polynomial below? 9x^2+12x+4

Answers

Answer:

(3x+2)^2

Step-by-step explanation:

The triangle shown on the graph above is rotated 90 degrees clockwise about the original to form triangle P’Q’R which of the following are the (x,y) coordinates of the point P’

Answers

Hey there! I'm happy to help!

When rotating a point 90 degrees clockwise about the origin, our original point (x,y) becomes (-y,x), because it is now at a negative y-value.

We see that our point P is at (1,2). We can use this rotation formula to find the coordinates of P' (the new spot where P is)/

(x,y)⇒(-y,x)

(1,2)⇒(-2,1)

Therefore, the coordinates of the point P' are (-2,1).

Have a wonderful day! :D

A researcher examines typing speed before a typing class begins, halfway through the class, and after the class is over. 4. Identify the number of levels: 5. Identify the type of design: 6. Identify the dependent variable:

Answers

Answer:

Number of levels = 2

Type of design = Repeated measure

Dependent variable = Typing Speed

Step-by-step explanation:

The number of levels in an experiment simply refers to the number of experimental conditions in which participants are subjected to. In the scenario above, the number of levels is 2. Which are ; Halfway through the class and After the class is over.

The type of designed employed is REPEATED MEASURE, this is because the participants all took part in each experimental condition.

The dependent variable is TYPING SPEED, which is the variable which is measured with respect to the independent variable. Hence the observed value depends on period that is (halfway through the class or after the class is over).

Choose two statements that are true for this expression.
5x3 – 6x2
25
y
+ 18
25
O A. The term
is a ratio.
B. There are three terms.
C. The entire expression is a difference.
O D. There are four terms.

Answers

Answer:

Step-by-step explanation:

I'm having difficulty reading your input:  25, y, + 18, 25.  Please clarify your meaning.

5x3 – 6x2 is a polynomial expression with two terms.

The term  is a ratio.  False.   See above.

The entire expression is a difference.  True.

There are four terms.  False.   See above.

Two statements B and C are true for the expression 5x3 – 6x2 25y+ 18

 

How many options are correct for given expressio?  

                                                                                     

A. The term is a ratio. False

B. There are three terms.terms. True

C. The entire expression is a difference. True

D. There are four terms. False

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Chapter: Simple linear equations Answer in steps

Answers

Answer:

6x-3=21

6x=24

x=4

........

6x+27=39

6x=39-27

6x=12

x=2

........

8x-10=14

8x=24

x=3

.........

6+6x=22

6x=22-6

x=3

......

12x-2=28

12x=26

x=3

.....

8-4x=16

-4x=8

x=-2

.....

4x-24=3x-3

4x-3x=24-3

x=21

....

9x+6=6x+12

9x-6x=12-6

3x=6

x=2

Answer:

Step-by-step explanation:

1. 3(2x - 1) = 21

 = 6x - 3 = 21

 = 6x = 24

 = x = 24/6 = 4

------------------------------

2. 3(2x+9) = 39

   = 6x + 27 = 39

   = 6x = 39 - 27

   = 6x = 12

   = x = 12/6 = 2

--------------------------------

3. 2(4x - 5) = 14

  = 8x - 10 = 14

  = 8x = 14+10

 = x = 3

-------------------------------

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zero of the zero polynomial is ita returned home after being away for several years. When she saw her father, whom she thought she disliked, she hugged him and cried. Based on her behavior when she met him, she determined that she must like him more than she thought. This is most consistent with the _____ of attitudes. Show that the rational numbers -15/35 and 4/(-6) are not equal? Please help! Stuck on this question!! A thrust fault increases the thickness of the crust as it moves toward a continental interior in a mountain belt; yet the crust beyond the mountain front stays the same thickness. Isostasy would suggest that the area at the mountain front, where the thrust emerges, should ________ over time. Use the sentence to answer the question. Although his younger students greeted the new practice with enthusiasm, the old guard had staked their reputations on the belief in miasmas. What type of connection does the author make between the ideas in this sentence? 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Laboratory analysis confirmed a microcytic anemia and revealed blood lead levels of 50 mg/dL (2 times normal levels) and high levels of coproporphyrinogen III in the urine. The child was put on chelation therapy and recovered uneventfully. The cause of the child's difficulty was most likely due to the effects of the lead. The findings in this patient most closely reflect lead inhibition of which of the following enzymes of heme biosynthesis?a) -aminolevulinic acid (ALA) dehydrataseb) ferrochelatasec) porphobilinogen (PBG) deaminased) proporphyrinogen III cosynthasee) uroporphyrinogen decarboxylase In soccer, Hai is a goal scorer who plays in forward positions, always keeping his eyes trained on the ball and chance to put one past a goalkeeper. He's not above playing advantages. "(Other players) don't want to hurt me," he said. "I try to juke them." His coach said opponents soon learn to play him honestly or pay the consequences what does prepositional given that f(x)=x^2-4x -3 and g(x)=x+3/4 solve for f(g(x)) when x=9 "Two waves of the same frequency have amplitudes 1.00 and 2.00. They interfere at a point where their phase difference is 60.0. What is the resultant amplitude?" Carly has averaged four goals per game for the first eight games of the indoor soccer season (which runs for 10 games)She wants to finish the season with an average of 5 goals per game. How many goals does she need to score in total in the last two games to achieve this? How does the teacher know you have completed your assignment in Google Classroom? Cash balance, September 1 (from a summer job) $7,560 Purchase season football tickets in September 100 Additional entertainment for each month 260 Pay fall semester tuition in September 4,100 Pay rent at the beginning of each month 370 Pay for food each month 210 Pay apartment deposit on September 2 (to be returned December 15) 500 Part-time job earnings each month (net of taxes) 940 Personal Budget:At the beginning of the 2016 school year, Katherine Malloy decided to prepare a cash budget for the months of September, October, November, and December. The budget must plan for enough cash on December 31 to pay the spring semester tuition, which is the same as the fall tuition. The following information relates to the budget:Required:Prepare a cash budget for September, October, November, and December.