Two thousand numbers are selected randomly; 960 were even numbers. At the 0.10 level of significance, determine whether the proportion of odd numbers is significantly different from 50%.

Answers

Answer 1

Answer:

The p-value of the test is 0.0734 < 0.1, which means that there is significant evidence, at the 0.1 level of significance, to conclude that the proportion of odd numbers is significantly different from 50%.

Step-by-step explanation:

Test if the proportion of odd numbers is significantly different from 50%.

At the null hypothesis, we test if the proportion is of 0.5, that is:

[tex]H_0: p = 0.5[/tex]

At the alternative hypothesis, we test if the proportion differs from 0.5, that is:

[tex]H_1: p \neq 0.5[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that [tex]\mu = 0.5, \sigma = \sqrt{0.5(1-0.5)} = 0.5[/tex]

Two thousand numbers are selected randomly; 960 were even numbers.

This means that [tex]n = 2000, X = \frac{960}{2000} = 0.48[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.48 - 0.5}{\frac{0.5}{\sqrt{2000}}}[/tex]

[tex]z = -1.79[/tex]

P-value of the test and decision:

The p-value of the test is the probability that the sample proportion differs from 0.5 by at least |0.48-0.5| = 0.02, which is P(|z|<1.79), which is 2 multiplied by the p-value of z = -1.79.

Looking at the z-table, z = -1.79 has a p-value of 0.0367

2*0.0367 = 0.0734

The p-value of the test is 0.0734 < 0.1, which means that there is significant evidence, at the 0.1 level of significance, to conclude that the proportion of odd numbers is significantly different from 50%.


Related Questions

5x + 4 < X-5, when X belongs to Z​

Answers

Answer:

Step-by-step explanation:

5x+4<x-5

5x-x<-5-4

4x<-9

x<-9/4

x=(-∞,...,-4,-3]

Answer:

Step-by-step explanation:

5X + 4 < X - 5

5x - x < -5-4

4x<-1

4x/4 > -1/4

x>-1/4

PLEASE HELP WILL MARK BRAINLIEST!

Answers

Answer:

a. 125 degrees

b. 62 degrees

c. 58 degrees

d. 130 degrees

Step-by-step explanation:

I assume these are the inner angles of the polygons.

remember, for a polygon with n sides we can fully split it into n-2 triangles without overlap.

each of these triangles has an angle sum of 180 degrees.

to get the total inner angle sum of the polygon, we need to multiply 180 by (n-2) (= the number of triangles).

out of that total we can then calculate the size of the missing angle.

a. 6 sides, therefore 4 triangles

4×180 = 720 degrees

the missing angle is

angle = 720 - 88 - 152 - 125 - 105 - 125 = 125

b. 5 sides, 3 triangles

3×180 = 540 degrees

angle = 540 - 109 - 111 - 140 - 118 = 62

c. 4 sides, 2 triangles

2×180 = 360

angle = 360 - 60 - 142 - 100 = 58

d. 7 sides, 5 triangles

5×180 = 900

angle = 900 - 90 - 120 - 140 - 150 - 120 - 150 = 130

I don’t understand what A is trying to ask please could someone help me? Thank you!

Answers

You have the right idea. You'll apply a y-axis reflection to go from above the x axis to below it. This allows us to move the red line into the correct vertical position without having to use a vertical translation.

Afterward, you'll shift the red line 4 units to the right to have it line up perfectly with the blue line.

Going from f(x) to -f(x) is the y-axis reflection part

Going from -f(x) to -f(x-4) will shift the line 4 units to the right.

Answer:  g(x) = -f(x-4)

Explain how to solve 4^(x+3)=7 using the change of base formula log_by=log y/ log b. Round to the nearest thousandth

Answers

Answer:

x = -1.59

Step-by-step explanation:

We are here given a equation and we need to solve out for x. The given equation is ,

[tex]\sf\longrightarrow 4^{( x +3)}= 7[/tex]

Take log to the base " e " on both sides , so that we can remove the variable from the exponent .

[tex]\sf\longrightarrow log_e 4^{x+3}= log_e 7[/tex]

Simplify using the property of log , [tex]\sf log a^m = m log a [/tex] , we have ,

[tex]\sf\longrightarrow (x + 3) ln 4 = ln 7 [/tex]

Distribute by opening the brackets ,

[tex]\sf\longrightarrow x ln 4 + 3 ln 4 = ln 7[/tex]

This can be written as ,

[tex]\sf\longrightarrow x ln 4 = ln 7 - 3ln4 [/tex]

Divide both sides by ln 4 ,

[tex]\sf\longrightarrow x = \dfrac{ ln7}{ln 4 } - \dfrac{ 3ln4}{ln4} [/tex]

Simplify ,

[tex]\sf\longrightarrow x = \dfrac{ ln4 }{ln7 } -3[/tex]

On simplifying , we will get ,

[tex]\sf\longrightarrow \boxed{\blue{\sf x = -1.59 }}[/tex]

i need help A S A P!

Answers

Answer:

ewfwefwfewfwfwe

Step-by-step explanation:

Find the measure of the indicated angle to the nearest degree

Answers

Answer: x=31°

Step-by-step explanation:

To find the missing angle, we need to use SOHCAHTOA. We can eliminate sine and tangent because we aren't given the opposite side. Therefore, we use cosine.

[tex]cos(x)=\frac{48}{56}[/tex]          [use inverse cosine]

[tex]x=cos^{-1}(\frac{48}{56})[/tex]

[tex]x=31[/tex]

Now, we know x=31°.

Sameera purchased 3 (1/2) kg of apples and 4 (3/4) kg of oranges. What is the total weight of fruits purchased by her ?

Answers

Answer:

8 1/4 kg

Step-by-step explanation:

Add the weight of the fruits together

3 1/2 + 4 3/4

Get a common denominator of 4

3 2/4 + 4 3/4

7 5/4

7 4/4 + 1/4

8 1/4 kg

rút gọn √(6-3(√(2+√3)-√(2+√(2+√3)

Answers

Answer:

10

Step-by-step explanation:

not sure please verify

Question 2 (1 point)
Match each situation to a linear system below.
A child has a piggy bank full
of $1 and $2 coins totalling
$37.
There are 25 more $1 coins
than there are $2 coins.
1. x + 2y = 37
x - y = 25
An exam that is worth 37
marks contains 25
questions.
The questions are either
worth 1 mark or 2 marks.
2. x + 2y = 37
x + y = 25
18
3. x - 2y = 37
x + y = 25
The sum of two numbers is
25.
The first number is 37 more
than 2 times the second
number

Answers

Answer:

See answers below

Step-by-step explanation:

For the expression

The sum of two numbers is  25.  The first number is 37 more  than 2 times the second  number

Let the two numbers be x and y

If the sum is 25, then;

x + y = 25 .... 1

37 more  than 2 times the second  the number is expressed as;

37+2y

If the first number is 37 more  than 2 times the second  number, then;

x = 37 + 2y

x - 2y = 37 ...2

This shows that the simultaneous equation that fits the expressions are;

x - 2y = 37

x + y = 25

For the expression

A child has a piggy bank full  of $1 and $2 coins totaling  $37.  There are 25 more $1 coins  than there are $2 coins.

Let x be the $1 coins

Let y be the $2 coins

If a child has a piggy bank full  of $1 and $2 coins totaling  $37, then;

x + 2y = 37 ... 1

Also, if there are 25 more $1 coins  than there are $2 coins, then;

x = 25 + y

x - y = 25 ...2

The equivalent expressions for the statement will be;

x + 2y = 37

x - y = 25

This hence leaves us with the last;

An exam that is worth 37  marks contain 25  questions.  The questions are either  worth 1 mark or 2 marks. The resulting simultaneous equation will be;

x + 2y = 37

x + y = 25

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

x – 4

x – 2

x + 2

x + 4

Answers

X + 4 is the answer to the problem

Last month, Margo bought a tree that grows 2.5 each day. It was 5cm tall when she bought it and now it is 65cm tall. How many days has Margo owned the plant?

Answers

Answer:

2.6

Step-by-step explanation:

2.5÷65=2.6

Good evening, I would need some help on this exercise.
Paul takes advantage of the sales to buy pants for € 29.50 which initially cost € 5 more. He also buys a € 17 T-shirt on which he is entitled to a 25% discount at the cash desk. What percentage of the total amount of his purchases did he save by purchasing these items during the sales?
thank you​

Answers

Answer:

 He Saved 18.664%

Step-by-step explanation:

Well first we need to find the total of the original price of the items he got

then we can solve for how much (in percentage) he saved

We know the original price of the pant as € 34.50 because 5+29.50=34.50

Now lets find out the original price of the shirt

The shirt's original price can be found by using this equation

x * .75 = 17

17/ .75  = x

22.67 = x

Now since we know the prices of these two items lets add them together

34.50 + 22.67 = 57.17

He actually spent

29.50 + 17 = 46.5

Now what percentage of 57.17 is 46.5?

We can use 46.5/57.17 = 0.81336

.81336 *100 =  81.336%

100-81.336 = 18.664

18.664% was saved

Please help, explain too and I will give brainliest :)

Answers

Answer:

c

Step-by-step explanation:

Answer:

C. 37 degrees

Step-by-step explanation:

27, 36, 45 is just a larger 3, 4, 5 triangle. The smallest angle is across from the smallest side. With those in mind, we have 37, 53, and 90 degrees as the angles for a 3, 4, 5 triangle. We pair the 27, (the three when we reduce) with the smallest angle, the 37.

I'm sure you can do it with an actual formula, but i can't recall. Cheers

In English auction, an item is auctioned. People increase bids in increments of $10, and the player giving the highest bid gets the item for that amount of money. Give reasons why the auctioneer would be considered a player of the game, or reasons why he or she would not. Does the game contain random moves

Answers

The game does contain random moves. It depends on how player is being described in this situation

What is the solution to the system of equations graphed below? PLSSS HELP

Answers

Answer:

C (-2,0)

Step-by-step explanation:

Find the point where they intersect. It's (-2,0) on the graph

Answer:

C

Step-by-step explanation:

Looking at the graph, the solution is (-2, 0).

This is because on the x axis, the point is 2 units to left (negative number) and does not move on the y axis (leaving it at 0).

Another way to see this is by plugging in these coordinates into the system of equations:

0 = -2(-2) - 4

0 = 4 - 4

0 = 0

0 = -2 + 2

0 = 0

These are both correct, once again proving the solution is (-2, 0).

asap please help! and explain how you got the answer!

Answers

55

To start to solve this problem we start by observing what information there is. We need y, to find y we have to know x. We need x to find y because all the angles in a triangle add up to 180. If we find x we can subtract the angles we know and get y. To find x we look and see that it is on a straight line, and on the other side of the line is 100. We know that a straight line is 180 degrees so we subtract 100 from 180 to get x. We now know x is 80, so now we minus 89 and 45 from 180. We get 55. This means that y is 55.

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

PLEASE HELP URGENTLY!!

Answers

Answer:

x = 69

Step-by-step explanation:

since AB is parallel to CD we can find the value of y with the following equation :

2y - 40 = 66 add 40 to both sides

2y = 110 divide both sides by 2

y = 55

from supplementary angles, we know that the exterior angle's measure is 124

since the sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle

y + x = 124 we found value of y earlier

55 + x = 124 subtract 55 from both sides

x = 69

​Mrs. Ella bought something's bought 3 lb of apples. The price is $2.49 per pound. How much did she pay for the three pounds of apples ?​

Answers

Answer:

$7.47

Step-by-step explanation:

Take the number of pounds and multiply by the price per pound

3 * 2.49

7.47 for 3 pounds of apples

Answer:

7.49

Step-by-step explanation:

Given: 3 pounds, and 2.49 for each pound

Multiply:

2.49 × 3

 ₁   ₂    

 2.49

×      3

----------

 7. 47

Mrs. Ella bought 3 pounds of apples for $7.49

Please solve this question 3(n+4)=5n?

Answers

Answer:

6=n

Step-by-step explanation:

Hi there!

We are given this equation:

3(n+4)=5n

And we need to solve it for n

To do that, we need to isolate n on one side

But we need to open up the parentheses on the left side by doing the distributive property

Multiply both n and 4 by 3

3n+12=5n

Now subtract 3n from both sides to remove it from the left side

12=2n

Divide both sides by 2 to change the coefficient on n from 2 to 1

6=n

n is now isolated on one side

Hope this helps!

Answer:

n=6

Step-by-step explanation:

Using the distributive property, we distribute 3 to n and 4. In case if you don't know what that means, it means we multiply 3 to the variables inside the parentheses. So we get (3×n)+(3×4)=5n, and we simplify it so we get 3n+12=5n. Now, we can subtract 3n from both sides and get 12=2n, and divide 2 from both sides and get n=6.

which algebraic expression represents this word description?

the product of two and the difference between eleven and a number

a. 2(11-x)
b. 11-2x
c. 2x-11
d. 2(x-11)

Answers

Step-by-step explanation:

c. 2x-11 this is the answer

hope this helps you

have a nice day:)

one morning sam cycles 5km in 20 mins and Dwight cycles 6km in 30mins Determain who cycles faster. Show your work

Answers

Answer:

5 + 20 + 6

Step-by-step explanation:

that's how you get

Solve the formula A = lw for /​

Answers

Answer:

A/w = l

Step-by-step explanation:

A = lw

Divide each side by w

A/w = lw/w

A/w = l

8x - 12
6x + 8
x = [?]

Answers

Answer:

x = 10

Step-by-step explanation:

8x-12 = 6x+ 8

or, 8x -6x = 8 + 12

or, 2x = 20

or, x = 20/2

so, x = 10

Answer:

10

there is a problem with the question...

IF it was : 8x - 12 = 6x + 8

then the answer would be: 2x = 20 .... x = 10

Step-by-step explanation:

Can Anyone please tell me How to Multiply 18√2×18√2...
Please show steps aslo..​

Answers

Answer:

648

Step-by-step explanation:

18√2×18√2= (18√2)²

                  = (18)²×(√2)²

                  = 324×2

                  = 648

Can someone help me out, please? Its really important

Answers

Answer:

3x^4+8x^3+9x^2+2x

Work out the circumference of this circle 7.5

Answers

Answer:

47.12

Step-by-step explanation:

C=2πr=2·π·7.5≈47.12389

Hellllllllp plsss!! Due in very soon maths

Answers

Answer: 23, 27,29

Those im absolutely positive about.

Im not sure abt the rest

Step-by-step explanation:

PLEASE HELP!!!

Select the correct answer.
Which function has an average rate of change of -4 over the interval [-2, 2]?

Answers

Answer:

D.

Step-by-step explanation:

Find the average rate of change of each given function over the interval [-2, 2]]:

✔️ Average rate of change of m(x) over [-2, 2]:

Average rate of change = [tex] \frac{m(b) - m(a)}{b - a} [/tex]

Where,

a = -2, m(a) = -12

b = 2, m(b) = 4

Plug in the values into the equation

Average rate of change = [tex] \frac{4 - (-12)}{2 - (-2)} [/tex]

= [tex] \frac{16}{4} [/tex]

Average rate of change = 4

✔️ Average rate of change of n(x) over [-2, 2]:

Average rate of change = [tex] \frac{n(b) - n(a)}{b - a} [/tex]

Where,

a = -2, n(a) = -6

b = 2, n(b) = 6

Plug in the values into the equation

Average rate of change = [tex] \frac{6 - (-6)}{2 - (-2)} [/tex]

= [tex] \frac{12}{4} [/tex]

Average rate of change = 3

✔️ Average rate of change of q(x) over [-2, 2]:

Average rate of change = [tex] \frac{q(b) - q(a)}{b - a} [/tex]

Where,

a = -2, q(a) = -4

b = 2, q(b) = -12

Plug in the values into the equation

Average rate of change = [tex] \frac{-12 - (-4)}{2 - (-2)} [/tex]

= [tex] \frac{-8}{4} [/tex]

Average rate of change = -2

✔️ Average rate of change of p(x) over [-2, 2]:

Average rate of change = [tex] \frac{p(b) - p(a)}{b - a} [/tex]

Where,

a = -2, p(a) = 12

b = 2, p(b) = -4

Plug in the values into the equation

Average rate of change = [tex] \frac{-4 - 12}{2 - (-2)} [/tex]

= [tex] \frac{-16}{4} [/tex]

Average rate of change = -4

The answer is D. Only p(x) has an average rate of change of -4 over [-2, 2]

Answer:

see photo

Step-by-step explanation:

Plato/Edmentum

Please help me with this

Answers

Answer:

1/6 for white and 1/2 for black

Step-by-step explanation:

My knowledge!

Hope it helps!

Answer:

4/15

Step-by-step explanation:

There are 6 white+4black = 10 marbles in the bag

P (white) = white marbles / total marbles = 6/10 = 3/5

We keep the marble

There are 5 white+4black = 9 marbles in the bag

P (black) = black/total = 4/9

P(white, black no replacement) = 3/5 * 4/9 = 3/9 *4/5 = 1/3*4/5 = 4/15

Solve 7x + 1 < 4(x - 2).

A. {x | x > 3}
B. {x | x > -3}
C. {x | x < -3}
D. {x | x < 3}

Answers

SoLuTiOn☞

Given:- 7x + 1 < 4(x - 2)

Solving It:-

7x + 1 < 4(x - 2)

7x + 1 < 4x - 8

7x - 4x < -8 -1

3x < -9

x < -9/3

x < -3

So Correct Solution Set Will Be

C. {x | x < -3}

Hope This Helps You
So your answer is C hope this help
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