Your local school board wants to determine the proportion of people who plan on voting for the school levy in the upcoming election. They conduct a random phone poll, where they contact 150 individuals and ask them whether or not they plan on voting for the levy. Of these 150 respondents, 78 people say they plan on voting for the levy. The school board wants to determine whether or not the data supports the idea that more than 50% of people plan on voting for the levy. Calculate the p-value for the one-sided Hypothesis test described in this example. (Hint: Find the test statistic and then use the tables to find the p-value.)

Answers

Answer 1

Answer:

The p-value for the one-sided Hypothesis test described in this example is 0.3121.

Step-by-step explanation:

Test the hypothesis that more than 50% of people plan on voting for the levy.

At the null hypothesis, we test that the proportion is 50%, that is:

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

At the alternate hypothesis, we test if this proportion is above 50%, that is:

[tex]H_a: p > 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*0.5} = 0.5[/tex]

Of these 150 respondents, 78 people say they plan on voting for the levy.

This means that [tex]n = 150, X = \frac{78}{150} = 0.52[/tex]

Value of the test statistic:

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

[tex]z = \frac{0.52 - 0.5}{\frac{0.5}{\sqrt{150}}}[/tex]

[tex]z = 0.49[/tex]

Pvalue of the test:

The pvalue of the test is the probability of finding a proportion above 0.52, which is 1 subtracted by the pvalue of z = 0.49.

Looking at the z-table, z = 0.49 has a pvalue of 0.6879.

1 - 0.6879 = 0.3121

The p-value for the one-sided Hypothesis test described in this example is 0.3121.


Related Questions

8) Cameron plans to purchase his graduation pictures. The prints cost at least $192 since there are add
ons he may purchase. If he saves $32 per week, write and solve an inequality to determine how many
weeks it will take for Cameron to purchase his graduation pictures.
I

Answers

Answer:

I dont know how to write the answer but i hope my math helped.

Step-by-step explanation:

192 divided by 32 is 6 so it will take Cameron a total of 6 weeks to get is pictures.

Answer:

32x>192

Step-by-step explanation:

I'm not 100% sure, but if you said you needed an inequality the money could be more than 192. So if you have $32 per week (x) is greater than 192 and solve, Camerson could work 6 weeks OR greater. I hope this helps :)

If you know that log5 (2) - log5 (12) = 0, which of the following is false?
ол
A log5 (x) = log5 (12)
O Blog (2 - 12) = 0
C log5 (x) = 0
ор.
2 = 12

Answers

Answer:

B

Step-by-step explanation:

A is correct because [tex]log_5(12)[/tex] was added on both sides, which is supported by the Additive Property of Equality

C is correct because the Quotient Property of Logarithms states that [tex]log_bM-log_bN=log_b(\frac{M}{N} )[/tex]

   so [tex]log_5(x)-log_5(12)=log_5(\frac{x}{12} )[/tex] is correct

D is correct because using the fact that [tex]log_5x=log_512[/tex] it is easy to figure out that x=12

For B, there is no property supporting that statement.

please answer the question! i will give brainliest!!!!!!

Answers

Answer:

B because you multiply all the similar numbers together then at the end you add them all up.Step-by-step explanation:

A 25 foot ladder is set against the side of a house so that it reaches up 15 feet. If Damian grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 12 ft.) Round to the nearest tenth of a foot.

Answers

Answer: 9.8 ft

Step-by-step explanation: did on delta math:)

Answer:

9.8 ft

Step-by-step explanation:

(attached images) source: deltamath

The physician orders Keflex (cephalexin monohydrate) 0.5 g per NG tube q6h. Read the label and calculate the correct dosage.

Label reads : 250 mg per 5 mL

Answers

Answer:

100 mL

Step-by-step explanation:

0.5 x 1000 =500mg

250mg/5ml= 5mg per 1ml

500mg/x mL = 5mg/1ml

cross multiply

500=5mg XmL

=100mL

Determine whether the distribution below represents a probability distribution.
x

P(x)

3

-.3

6

.5

9

.1

12

.3

15

.4

Answers

Answer:

No, not a probability distribution.

Step-by-step explanation:

It appears that one of the probabilities in the table (-.3) is negative, which is not allowed.

What is the area of the unshaded sector?

Answers

Answer:

56π units²

Step-by-step explanation:

area of entire circle = πr² = π8² = 64π

360° - 45° = 315°

(315/360)(64π) = 56π units²

Answer:56 square Units

Step-by-step explanation:

why energy is like power consumed. Prove mathematically​

Answers

Answer:

Hey

Step-by-step explanation:

Sorry i need the points sorry

In AKLM, k = 7.7 cm, m = 5.8 cm and ZM=139°. Find all possible values of ZK, to the
nearest 1oth of a degree.

Answers

Answer:

no possible triangles

Step-by-step explanation:

just turn it in blank on delta

WILL GIVE BRAINLIEST anitas and caseys bills do not vary from month to month. anita pays 80 more than casey does each month. over the course of 4 months,their combined bill is 1,520. write the system of equations that describes this situation and solve it to find the montly payments for anita and casey.

Answers

Answer:

1520/4=380 per month

Step-by-step explanation:

The monthly payments for Anita and Casey are 230 and 150.

What is equation?

"An equation is a formula that expresses the equality of two expressions consisting of variables and/or numbers, by connecting them with the equals sign =."

Assume

Monthly payments for Anita = x

Monthly payments for Casey = y

We have

Anita pays 80 more than Casey does each month.

We can write the equation

x = y + 80

x - y = 80 ...........................(1)

Over the course of 4 months, their combined bill is 1,520.

We can write the equation

4x + 4y = 1520...................(2)

Solving equations (1) and (2) by substituting equation x = y + 80 in equation (2)

⇒4x + 4y = 1520

⇒4(y + 80) + 4y = 1520

⇒4y + 320 + 4y = 1520

⇒8y = 1520-320

⇒8y = 1200

⇒y = [tex]\frac{1200}{8}[/tex]

⇒y = 150

Substitute y = 150 in equation (1)

⇒x - y = 80

⇒x - 150 = 80

⇒x = 80+150

⇒x = 230

Hence, the monthly payments for Anita and Casey are 230 and 150.

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Which of these data sets is symmetrical?

A. 1, 8, 15, 15, 22, 22, 22, 29, 29, 36, 43

B. 1, 8, 15, 22, 22, 22, 29,29, 29, 36, 43

c. 1, 8, 15, 15, 15, 22, 22, 22, 29, 36, 43

D. 1,1, 15, 15, 22, 22, 22, 29, 29, 36, 43

Answers

Answer:

B is the correct answer..

28. Scott is participating in a monthly push-up challenge. Each day he is expected to increase the number of push-ups he completes by the same amount.
1 2 3 4
On day 1, Scott completed 3 push-ups. On day 2, Scott completed 5 push-ups. On day 3, Scott completed 7
push-ups. On day 4, Scott completed 9 push-ups.
If Scott continues this pattern, how many push-ups will he be able to

Answers

Answer:

On day 5, he should be able to do 11

Step-by-step explanation:

Day 1 - 3

Day 2 - 5 (2 more than day before)

Day 3 - 7 (2 more than day before)

Day 4 - 9 (2 more than day before)

Following this pattern of +2, day 5 should be 11.

that's my thought process, so I hope it works

The Pythagorean theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the
hypotenuse by the formula a2 + b2 = 2
If a is a rational number and b is a rational number, why could c be an irrational number?

Answers

Answer:  I don't know stop cheating on your tests

Step-by-step explanation:

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

I think you need to add them up and u will get 27
Seven centimeters I think


pls help!!!! 15 points !!!

Answers

Answer:

56 cm

Step-by-step explanation:

It’s 56 cm! :) hope this helps out


P
13pls answer and will mark brainliest​

Answers

Answer:

Step-by-step explanation:

1.) 6

2.) A

3.)5

Which of the following is the reciprocal parent function?
A. F(x) = |x|
B. F(x) = 1/x
C. F(x) = -x2
D. Fx) = x + 1

Answers

I think b but not sure :)

Answer:B

Step-by-step explanation:

just took the test

triangle ABC below has a right angle C and a height CD. (A height in a triangle connects it vertex and the opposite side, and is perpendicular to that side.) If AC is 3 untis long and BC is 4 units long, what is the length of CD?

Answers

9514 1404 393

Answer:

  2.4

Step-by-step explanation:

We can see that this is a 3-4-5 right triangle, so side AB is 5 units long.

The area of the triangle is ...

  A = 1/2bh = 1/2(3 units)(4 units) = 6 units

This is true also when side AB is the base and CD is the height.

 A = 1/2(AB)(CD)

  6 = 1/2(5 units)(CD) . . . . . substitute given information

  6/2.5 = CD = 2.4 . . . . . . . divide by the coefficient of CD

The length of side CD is 2.4 units.

__

In the attached, the height to vertex C is given on the bottom line.

Find the surface area of the prism.
5 yd
4 yd
12yd
6 yd
The surface area is
square yards.

Answers

Answer:

The surface area is 12 square yards.

Step-by-step explanation:

Is 12 yards big boss don’t worry

Which equation can be used to solve for in the following diagram?
(3x + 12)

Choose 1 answer:
3.3 = 180 + 2
(3.2 + 12) + x = 90
C
(3x + 12) + x = 180
D
(3x + 12) = 2

Answers

Answer:

the Answer is 3x+12)+X=180

Sofia has 25 coins in nickels and dimes in her pocket for a total of $1.65. How many of each type of coin does she have? First complete the equations below, where N stands for nickels and D stands for dimes. [?]N + [ ]D = 1.65; N + D ​

Answers

Answer:

Step-by-step explanation:

Let n represent nickels & d dimes

given: n + d = 25 #1 (number of coins)

given: .05n + .10d = 1.65 #2 (amount in dollars)

n = 25 - d #3 (rewrite of #1)

.05(25 -d) + .10d = 1.65 (substitute #3 in #2)

1.25 - .05d + .10d = 1.65 (multiply out the left side)

.05d = .40 (collection of like terms)

d = 8 (divided both sides by.05)

n + 8 = 25 (substitute answer for d in #1)

n = 17 (subtract both sides by 8)

There are 8 dimes and 17 nickels.

Check:

17(.05) + 8(.10) = 1.65 (answers in #2)

.85 + .80 = 1.65 (multiply out the left side)

1.65 = 1.65 ✔️ QED

Answer:  There are 8 dimes and 17 nickels.

Step-by-step explanation: 0.05N+.10D=1.65; N+D=25

Help pls quick! pls and ty

Answers

Answer:

All you need to do is find the frequency of the Science Test Scores. For Example, there are 6 students that made a 90%. So, you put 6 dots on the graph where it says 90. For the rest of the numbers, you do the same thing. 3 students made a 50, 2 students made a 60, 7 students made a 70, 5 students made an 80, and like I said 6 students made a 90. Add 0 dots to 40% and 100%, as you can see no students made a 40 or a 100 :(

Step-by-step explanation:

Answer this question pls!! (Will give Brainliest)

Answers

ANSWER:
22
(All you’re doing is plugging in the values into the formula)

Answer:

22

Step-by-step explanation:

C=2πr

[tex]C=2*3\frac{1}{2} *\frac{22}{7} =2*\frac{7}{2} *\frac{22}{7} =22[/tex]

Help pls Show work if needed

Answers

Answer:

8a) false

8b) true

8c) true

8d) false

which is it? please help me and i will give brainliest

Answers

Answer: A, 1/2

Step-by-step explanation:

he is simply using 1 cup of bs for each cup of ws so when you do it its i cup of ws then its hald of 1 bs

Answer:

it is 1/2 i.e. the first option

this is simple ratio method;

white : brown

      2 : 1

       1 : x

x = 1/2 cups

Hope this helps!

I would really appreciate if you mark me brainliest as I have been trying to get there for a veryyy long time now :)

Find the value of x to the nearest tenth

Answers

Answer:

Step-by-step explanation:

To fins this you need to find the other side. To do this you need to do 3 squared plus 5 squared and find the square root of the product. That is about 5.8.

Then you need to do 10 squared plus 5.8 squared, which is 133.6, then find the square root of that, which is 11.6 .

A number is five less than twice another number

Answers

Answer:

n= 2x-5

Step-by-step explanation:

The Expression for the statement is x= 2y -5.

What is Expression?

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.

Given:

A number is five less than twice another number.

let the number be x and the another be y.

So, the mathematical Expression is

five less than twice another number.

= 2y -5

So, the expression is

x= 2y -5.

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A net of a triangular prism is shown below.
8 ft
3 ft
0 TO 900k
3ft -
5ft
explore
5 ft
re
What is the surface area, in square feet, of the triangular prism

Answers

Answer:

answer: its c 108

Step-by-step explanation:

for the rectangles I just did base x height for all of them and got 24, 32, and 40 then I do the two triangles for those its just base x height ÷ 2 So 4 x 3 = 12 then I divide that by 2 and get 6 but since there's two of those triangles I multiply by 2 and end up with twelve again then I add all of these numbers up so...

24 + 32 + 40 + 12 = 108 Hope this makes sense to you!

Please help its urgent will give brainiest and show your work

Answers

Answer:

r = 28 ft

Step-by-step explanation:

In a right triangle we have:

45² + r² = ( 25 + r )²

2025 + r² = 625 + 50r + r²

1400 = 50r

r = 28 ft

Find the value of x
7-10 plsss

Answers

Answer:

Step-by-step explanation:

Hope it helps u!!

The values of x are 7) 155°, 8) 90°, 9) 140° and 10) 20°.

What is Polygons?

Polygons are closed figures which has at least three set of line segments joined together.

The polygon with least number of sides is triangle.

7) It is a polygon with 4 sides (quadrilateral)

Sum of the interior angles of a quadrilateral = 360°

45° + 65° + 95° + x = 360°

x = 360° - (45° + 65° + 95°)

x = 155°

8) Sum of the interior angles of a polygon = (n - 2)180°, where n is the number of sides.

There are 6 sides.

Sum of the interior angles = (6 - 2)180° = 720°

x + 140 + 130 + 120 + 90 + 150 = 720

x = 90°

9) n = 5

Sum of the interior angles = (5 - 2) 180° = 540°

2x + 90 + 100 + 70 = 540

2x = 280

x = 140°

10) Sum of the exterior angles of a polygon is 360°.

4x + x + 98 + 162 = 360

5x = 100

x = 20°

Hence the values of x are found.

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