A recent article in a university newspaper claimed that the proportion of students who commute more than miles to school is no more than . Suppose that we suspect otherwise and carry out a hypothesis test. State the null hypothesis and the alternative hypothesis that we would use for this test.

Answers

Answer 1

Answer:

The null hypothesis is [tex]H_0: p \leq x[/tex], in which x is the proportion tested.

The alternative hypothesis is [tex]H_1: p > x[/tex]

Step-by-step explanation:

A recent article in a university newspaper claimed that the proportion of students who commute more than miles to school is no more than x.

This means that at the null hypothesis, we test if the proportion is of at most x, that is:

[tex]H_0: p \leq x[/tex]

Suppose that we suspect otherwise and carry out a hypothesis test.

The opposite of at most x is more than x, so the alternative hypothesis is:

[tex]H_1: p > x[/tex]


Related Questions

A simple random sample of 41 men from a normally distributed population results in a standard deviation of 10.7 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal​ range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts​(a) through​ (d) below.
a. Identify the null and alternative hypotheses.
b. Compute the test statistic; χ2 = ___ ​(Round to three decimal places as​ needed.)
c. Find the​ P-value; ​P-value = ____ ​(Round to four decimal places as​ needed.)
d. State the conclusion. (choose one from each ( x, y) set)
(Do not reject, Reject) Upper H0​, because the​ P-value is (greater than, less than, or equal to) the level of significance. There is
(sufficient, insufficient) evidence to warrant rejection of the claim that the standard deviation of​ men's pulse rates is equal to
10 beats per minute.

Answers

Answer:

H0 : σ²=10²

H1 : σ²>10²

χ² = 45.796

Pvalue = 0.2442

Do not reject H0 because Pvalue is greater Than significance level

There is insufficient evidence to warrant rejection of the claim that the standard deviation of​ men's pulse rates is equal to 10 beats per minute.

Step-by-step explanation:

Given that :

Sample size, n = 41

Sample standard deviation, s = 10.7

Population standard deviation, σ = 10

Significance level, α = 0.10

The Hypothesis :

H0 : σ²=10²

H1 : σ²>10²

Using the χ² test for population variance :

The test statistic, χ² = (n-1)*s²/σ²

χ² = (41 - 1) * 10.7²/ 10²

χ² = (40 * 114.49) / 100

χ² = 4579.6 / 100

χ² = 45.796

The Pvalue ;

df = n - 1 ; 41 - 1 = 40

Pvalue(45.796, 40) = 0.2442

Since Pvalue > α ; WE fail to reject H0

Do not reject H0 because Pvalue is greater Than significance level

There is insufficient evidence to warrant rejection of the claim that the standard deviation of​ men's pulse rates is equal to 10 beats per minute.

Jenny bought scrapbooking supplies for $156.50. She paid $10.17 in sales tax. What was the sales tax rate on the supplies? If necessary, round your answer to the nearest tenth.

Answers

Answer:

6.5%

Step-by-step explanation:

sales price x sales tax rate = sales tax

156.50 x sales tax rate = 10.17

sales tax rate = 10.17/156.50

sales tax rate = .065 or 6.5%

can someone help? i can’t figure this out; i’ll give brainliest:))

Answers

What we need to memorize when finding the slope is this formula:

[tex] \displaystyle \large{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

m here represents the slope. I hope this does not confuse you with line m.

The problem here is that we do not have any given points, but we have a way.

If we notice on the graph, the graph contains or passes through (2,-1) and (-2,1). We can use these points to find the slope. So let these be the following:

[tex] \displaystyle \large{(x_1,y_1) = (2 ,- 1)} \\ \displaystyle \large{(x_2,y_2) = ( - 2 ,1)} [/tex]

Then we substitute these points in the formula.

[tex] \displaystyle \large{m = \frac{ 1 - ( - 1)}{ - 2 - 2} }[/tex]

negative × negative = positive.

[tex] \displaystyle \large{m = \frac{ 1 + 1}{ - 2 - 2} } \\ \displaystyle \large{m = \frac{ 2}{ - 4} } \longrightarrow \boxed{m = - \frac{1}{2} }[/tex]

Since m represents the slope. Therefore, the slope of line m is -1/2

Find the missing segment in the image below

Answers

Answer:

4

Step-by-step explanation:

First, we can take two triangles -- one with 2 as a side and the big one. Literally every side of the triangle with the 2 in it is parallel to its corresponding side the big triangle. Therefore, we can say that the two triangles are similar.

In similar triangles, we can say that the ratios of corresponding sides are the same. Let's say that the bottom side of the big triangle is x, and the question mark is y. Therefore, the hypotenuse of the big triangle is 6+y. Furthermore, the ratio of corresponding sides ((6+y)/y and x/2) are equal, so

(6+y)/y = x/2

Since x is clearly made up of 3 and 2, we can say 3+2=x=5

(6+y)/y = 5/2

multiply both sides by y to remove a denominator

6+y = 5*y/2

multiply both sides by 2 to remove the other denominator

12+2y = 5*y

subtract both sides by 2y to isolate the y and its coefficient

12 = 3y

divide both sides by 3 to isolate the y

y=4

Analyze the diagram below and complete the instructions that follow. Find a, b, and c.

Answers

Answer:

The correct answer is the letter C.

Step-by-step explanation:

We can use the following trigonometric identity:

[tex]cos(60)=\frac{6}{b}[/tex] (1)

[tex]cos(45)=\frac{c}{b}[/tex] (2)

Solving each equation by b and equaling we have:

[tex]\frac{6}{cos(60)}=\frac{c}{cos(45)}[/tex]

[tex]\frac{6}{cos(60)}=\frac{c}{cos(45)}[/tex]

Let's recall that:

[tex]cos(45)=\frac{1}{\sqrt{2}}[/tex]

[tex]cos(60)=\frac{1}{2}[/tex]

Then we have:

[tex]c=\frac{cos(45)*6}{cos(60)}[/tex]

[tex]c=\frac{2*6}{\sqrt{2}}[/tex]

[tex]c=\frac{12}{\sqrt{2}}[/tex]

[tex]c=6\sqrt{2}[/tex]

Using equation (1) we can find b.

[tex]cos(60)=\frac{6}{b}[/tex]  

[tex]b=12[/tex]      

Finally, we can find a using the next equation:

[tex]tan(60)=\frac{a}{6}[/tex]

[tex]a=6*tan(60)[/tex]

[tex]a=6\sqrt{3}[/tex]

Therefore, the correct answer is the letter C.

I hope it helps you!

Bod and coa are _____ angles

Answers

Answer:

opposite angles

Step-by-step explanation:

They are formed in the intersection of lines AD and BD.

Answer:

opposite angles

Step-by-step explanation:

they are formed in the intersection of lines AD and BD. two figures are called similar if they have same shape however have different size.

2) Consider the quadratic sequence 72, 100, 120, 132

2.1.1) Determine Tn the nth term of the quadratic.​​

Answers

9514 1404 393

Answer:

  Tn = -4n² +40n +36

Step-by-step explanation:

A graphing calculator readily performs the quadratic regression, yielding the formula ...

  Tn = -4n² +40n +36

__

The first and second differences of the given sequence terms are ...

  28, 20, 12 and -8, -8

The coefficient of the squared term is half the second difference, so is -4. Then the sequence of squared terms is -4n²:

  -4, -16, -36, -64

Subtracting these values from the original sequence gives the linear sequence ...

  76, 116, 156, 196

which has first term 76 and common difference 40. The equation for the n-th term of this is ...

  an = 76 +40(n -1) = 36 +40n

Adding this linear sequence to the sequence of squared terms, we get ...

  Tn = -4n² +40n +36

A scale drawn on the map shows that 1 inch represents 40 miles. If tuo cities
are 25 inches apart on the map, what is the distance between them in real
life?

Answers

Answer:

Im pretty sure its 1,000 miles (dont forget the unit)

Step-by-step explanation:

Determine if this problem is a inverse variation or direct variation problem! This means that:

equation would be:

1=40

25=x

cross multiply*

x=25*40

x=1,000 miles apart! (dont forget the unit)

If this doesnt work then try this equation!

1=40

25=x

Multiply 1*40 and 25 *x

40=25x......    

40/25= 1.6

x=1.6! (Extra step)

Cheers!

Answer: 100 Miles

Step-by-step explanation: took the miles and got it correct.

(Also it's 2.5 inches apart, not 25.)

A car rental agency rents 480 cars per day at a rate of $20 per day. For each $1 increase in rate, 10 fewer cars are rented. At what rate should the cars be rented to produce the maximum income? What is the maximum income?​

Answers

Answer:

340 cars at $ 34 should be rented to produce the maximum income of $ 11,560.

Step-by-step explanation:

Given that a car rental agency rents 480 cars per day at a rate of $ 20 per day, and for each $ 1 increase in rate, 10 fewer cars are rented, to determine at what rate should the cars be rented to produce the maximum income and what is the maximum income, the following calculations must be performed:

480 x 20 = 9600

400 x 28 = 11200

350 x 33 = 11550

300 x 38 = 11400

310 x 37 = 11470

320 x 36 = 11520

330 x 35 = 11550

340 x 34 = 11560

Therefore, 340 cars at $ 34 should be rented to produce the maximum income of $ 11,560.

Can someone help me please. I am struggling and I would be so happy if any of you helped me. Thank you for your help!

Answers

9514 1404 393

Answer:

  $19.36

Step-by-step explanation:

Any average is the sum of numbers, divided by the number of them.

Here, the numbers are grouped, but the computation of the average works the same way.

The total value of donations received is ...

  $100×10 +$50×20 +$20×30 +$10×100 +$5×35

  = $1000 +1000 +600 +1000 +175 = $3775

The total number of donations received is ...

  10 +20 +30 +100 +35 = 195

Then the average (mean) donation is the total value divided by the total number ...

  $3775/195 ≈ $19.35897 ≈ $19.36 . . . mean donation

Vectors u and v are perpendicular. ||u|| = 5√2 units, and ||v|| = 6√2 units. ||u + v|| ≈ ? units
A. 11.04
B. 11.05
C. 15.55
D. 15.56

Answers

Answer:

15.56

Step-by-step explanation:

Given the vectors ||u|| = 5√2 units, and ||v|| = 6√2 units.

||u + v|| ≈  5√2 +  6√2

||u + v|| ≈  (5+6)√2

Since √2≈ 1.4142

||u + v|| ≈   11(1.4142)

||u + v|| ≈  15.56

Hence the correct option is D

Answer: 11.05

Step-by-step explanation: got it right

Which expression is equivalent to
-32 3/5
-8
-3/325
3/325
1/8

Answers

Answer:

[tex]-32^\frac{3}{5} = -8[/tex]

Step-by-step explanation:

Given

[tex]-32^\frac{3}{5}[/tex]

Required

The equivalent expression

We have:

[tex]-32^\frac{3}{5}[/tex]

Rewrite as:

[tex]-32^\frac{3}{5} = (-32)^\frac{3}{5}[/tex]

Expand

[tex]-32^\frac{3}{5} = (-2^5)^\frac{3}{5}[/tex]

Remove bracket

[tex]-32^\frac{3}{5} = -2^\frac{5*3}{5}[/tex]

[tex]-32^\frac{3}{5} = -2^3[/tex]

[tex]-32^\frac{3}{5} = -8[/tex]

Do number 6 plz thanks​

Answers

Answer:

24cm

Step-by-step explanation:

Question: Find the length of side OR.

Answer + explanation:

24cm

Since PQ = 24 cm, OR = 24 cm because they're paralleled and congruent!

Answer:

<O = 125

OR = 24

Step-by-step explanation:

consecutive angles are supplementary in a parallelogram

<R + <O = 180

55 + <O =180

<O = 180-55

< O = 125

opposite sides are congruent in a parallelogram

PQ = OR = 24

If P(x): x < |2x|. b) What is the value of ∃x P(x)?​

Answers

Answer:

true

Step-by-step explanation:

because some of x if x=3 then 3<6 is true

For the function f(x)=-4•(0.3)^x+1, identify the y-intercept and asymptote.
Y-intercept:
Asymptote:

Answers

Answer:

-3; 1

Step-by-step explanation:

y-intercept is when x = 0

y = -4(0.3)^0 + 1

anything to the power of 0 is 1

y = -4(1) + 1

y = -4 + 1

y = -3

The asymptote of an exponential function is the vertical translation which in this case is 1

help me this EQUATION please help help help !

Answers

Answer: A
please mark brainliest

Question 6 a-c if plz show ALL STEPS like LITERALLY EVERYTHING

Answers

9514 1404 393

Answer:

  a) quadrant III

  b) 4π/3, -2π/3

  c) (1/2, (√3)/2)

  d) ((√3)/2, -1/2

Step-by-step explanation:

a) The attachment shows the point P and the numbering of the quadrants (in Roman numerals). Point P lies in quadrant III.

__

b) Measured counterclockwise, the angle to point P is 240° or 4π/3 radians. Measured clockwise, the angle is -120° or -2π/3 radians. In the diagram, these are shown in green and purple, respectively.

__

c) Adding π/2 to the angle 4π/3 or -2π/3 brings it to 11π/6, or -π/6. This point is marked as P' (blue) on the diagram. The coordinate transformation for π/2 radians CCW rotation is ...

  (x, y) ⇒ (-y, x)

  P(-1/2, -√3/2) ⇒ P'(√3/2, -1/2)

In terms of trig functions, the coordinates of the rotated point are ...

  P'(cos(-π/6), sin(-π/6)) = P'(√3/2, -1/2)

__

d) Adding or subtracting π radians to/from the angle moves it directly opposite the origin. Both coordinates change sign. This point is P'' (red) on the diagram.

4. Find the area of the polygon. ​

Answers

Answer:

20

Step-by-step explanation:

fridays high temp was -1. the low temp was -5. what was the difference between the high and low temps

Answers

Answer:

4

Step-by-step explanation:

count up from -5 to -1

so -5,-4,-3,-2,-1 and there are four numbers excluding-5

Solve the following equation by using the addition principle. Check the solution.
-4/5 + y = -1/4

Answers

Answer:

y = 11/20

Step-by-step explanation:

-4/5 + y = -1/4

Add 4/5 to each side

-4/5  +4/5 + y = -1/4+4/5

y = -1/4 + 4/5

Get a common denominator

y = -1/4 *5/5   + 4/5 *4/4

y = -5/20 + 16/20

y = 11/20

Check

-4/5 +11/20 = -1/4

Get a common denominator

-4/5*4/4 + 11/20 = -1/4*5/5

-16/20 +11/20 = -5/20

-5/20 = - 5/20

Check

Step-by-step explanation:

[tex] - \frac{4}{5} + y = - \frac{1}{4} \\ y = \frac{ - 1}{4} + \frac{4}{5} \\ y = \frac{ - 5 + 16}{20} \\ y = \frac{11}{20} [/tex]

[tex]y = \frac{11}{20} [/tex]

Select the statement that best justifies the conclusion based on the given information.

a. Definition of bisector.
b. Definition of midpoint.
c. If two lines intersect, then their intersection is exactly one point.
d. Through any two different points, exactly one line exists.

Answers

9514 1404 393

Answer:

  a. Definition of bisector.

Step-by-step explanation:

Line l is a line through the midpoint M. We can conclude it is a bisector, because, by definition, a bisector is a line through the midpoint.

The conclusion is justified by the definition of a bisector.

The question is attached, please help.

Answers

Answer:draw a triangle

Step-by-step explanation:

In the data set shown below, what is the value of the quartiles?

{4.3, 4.5, 4.7, 5, 5.5, 5.7, 5.9, 6, 6.1}
A. Q1 = 4.6; Q2 = 5.5; Q3 = 5.95
B. Q1 = 4.7; Q2 = 5.5; Q3 = 6
C. Q1 = 4.7; Q2 = 5.5; Q3 = 5.9
D. Q1 = 4.6; Q2 = 5.5; Q3 = 5.92

Answers

Answer:

A. Q1 = 4.6; Q2 = 5.5; Q3 = 5.95

Step-by-step explanation:

{4.3, 4.5, 4.7, 5, 5.5, 5.7, 5.9, 6, 6.1}

First find the median or the 2nd quartile

There are 9 data points so the middle is the 5th

4.3, 4.5, 4.7, 5,     5.5,     5.7, 5.9, 6, 6.1}

Q2 = 5.5

Now looking at the data on the left, we need to find the middle, which is Q1 or the first quartile

4.3, 4.5     , 4.7, 5,

It is between 4.5 and 4.7 so we average

(4.5+4.7)/2 = 9.2/2 = 4.6

Q1 is 4.6

We do the same for the data on the right, which is the third quartile or Q3

5.7, 5.9,  6, 6.1

(5.9+6)/2 = 11.9/2 = 5.95

Q3 = 5.95

Answer: IT'S A !!

Step-by-step explanation:


A cyclist rides her bike at a speed of 30 kilometers per hour. What is this speed in kilometers per minute? How many kilometers will the cyclist travel in 2
minutes? Do not round your answers,

Answers

Step-by-step explanation:

The answer is mentioned above.

Please show work. The way that you solve for surface area and vol confuse me.

Answers

Answer:

search up the formula

Step-by-step explanation:

If the nominal rate of interest is 10% per annum and there is quarterly compounding, the effective rate of interest will be: a) 10% per annum b) 10.10 per annum c) 10.25%per annum d) 10.38% per annum​

Answers

9514 1404 393

Answer:

  d) 10.38%

Step-by-step explanation:

The multiplier for four quarters of quarterly compounding is ...

  (1 +10%/4)^4 = 1.025^4 = 1.103812890625

This is about 1 + 10.38%.

The effective rate of interest is about 10.38% per annum.

Categorize the trigonometric functions as positive or negative.

Answers

Answer:

So, remember that:

cos(x) > 0   for  -pi/2 < x < pi/2

cos(x) < 0 for  pi/2 < x < (3/2)*pi

and

sin(x) > 0 for 0 < x < pi

sin(x) < 0 for -pi < x <0  or  pi < x < 2pi

Also, we have the periodicty of the sine and cocine equations, such that:

sin(x) = sin(x + 2pi)

cos(x) = cos(x + 2pi)

Now let's solve the problem:

[tex]sin(\frac{13*\pi}{36} )[/tex]

here we have:

x = (13/36)π

This is larger than zero and smaller than π:

0 < (13/36)π < π

then:

[tex]sin(\frac{13*\pi}{36} )[/tex]

Is positive.

The next one is:

[tex]cos(\frac{7*\pi}{12} )[/tex]

Here we have x = (7/12)*pi

notice that:

7/12 > 1/2

Then:

(7/12)*π > (1/2)*π

Then:

[tex]cos(\frac{7*\pi}{12} )[/tex]

is negative.

next one:

[tex]sin(\frac{47*\pi}{36} )[/tex]

here:

x = (47/36)*π

here we have (47/36) > 1

then:

(47/36)*π > π

then:

[tex]sin(\frac{47*\pi}{36} )[/tex]

is negative.

the next one is:

[tex]cos(\frac{17*\pi}{10} )[/tex]

Here we have x = (17/10)*π

if we subtract 2*π (because of the periodicity) we get:

(17/10)*π - 2*π

(17/10)*π - (20/10)*π

(-3/10)*π

this is in the range where the cosine function is positive, thus:

[tex]cos(\frac{17*\pi}{10} )[/tex]

is positive.

the next one is:

[tex]tan(\frac{41*\pi}{36} ) = \frac{sin(\frac{41*\pi}{36} )}{cos(\frac{41*\pi}{36} )}[/tex]

here we have:

x = (41/36)*π

Notice that both functions, sine and cosine are negatives for that value, then we have the quotient of two negative values, so:

[tex]tan(\frac{41*\pi}{36} ) = \frac{sin(\frac{41*\pi}{36} )}{cos(\frac{41*\pi}{36} )}[/tex]

is positive.

The final one is:

[tex]tan(\frac{5*\pi}{9} ) = \frac{sin(\frac{5*\pi}{9} )}{cos(\frac{5*\pi}{9} )}[/tex]

Here:

x = (5/9)*π

The sin function is positive with this x value, while the cosine function is negative, thus:

[tex]tan(\frac{5*\pi}{9} ) = \frac{sin(\frac{5*\pi}{9} )}{cos(\frac{5*\pi}{9} )}[/tex]

Is negative.

What is word and expanded form of 5,901,452

Answers

Word: Five million nine hundred one thousand four hundred fifty two.
Expanded: 5,000,000 + 900,000 + 1,000 + 400 + 50 + 2
Hii!

Five Million nine hundred and one thousand four hundred fifty two!

5000000+900000+1000+400+50+2

Have a fabulous day

Which expression describes this graph?

A. x -5
B. x -5
C. x < -5
D. x > -5

Answers

Answer:

C

Step-by-step explanation:

The equation that described the graph is x<-5

i need help ON THIS PLS

Answers

Answer:

No, because the ratio of pay to hours is not the same for each pair of value.

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