The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 1300 voters in the town and found that 57% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 54%. Find the value of the test statistic. Round your answer to two decimal places.

Answers

Answer 1

Answer:

The value of the test statistic is 2.17.

Step-by-step explanation:

The test statistic is:

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

In which X is the sample mean, [tex]\mu[/tex] is the hypothetised mean, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 54%.

This means that:

[tex]\mu = 0.54[/tex]

[tex]\sigma = \sqrt{0.54*0.46} = 0.4984[/tex]

A political study took a sample of 1300 voters in the town and found that 57% of the residents favored construction.

This means that [tex]n = 1300, X = 0.57[/tex]

Find the value of the test statistic.

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

[tex]t = \frac{0.57 - 0.54}{\frac{0.4984}{\sqrt{1300}}}[/tex]

[tex]t = 2.17[/tex]

The value of the test statistic is 2.17.


Related Questions

What number is triple six?​

Answers

Answer

The answer is 666

Factorise the following:​

Answers

Answer:

hello sis!!!

Step-by-step explanation:

hope this helps you ^_^

Answer:

49x²-16/25

=(7x)²-(4/5)²=(7x+4/5)(7x-4/5)

use formula

a²-b²=(a+b)(a-b)

An article reports that a sample of 220 juvenile rainbow trout fed a diet fortified with equal amounts of the amino acids taurine and methionine for a period of 70 days had a mean weight gain of 313% with a standard deviation of 25, while 220 fish fed with a control diet had a mean weight gain of 233% with a standard deviation of 19. Units are percent. Find a 99% confidence interval for the difference in weight gain on the two diets. (Round the final answers to two decimal places.)

Answers

Answer:

hhjkiijhuuiiiuui8i8h g uiollll

Use the drawing tools to form the correct answer on the graph. Graph this function. f(x) = -1/3x+8​

Answers

The graph of the function has the x intercept at 24 and the y intercept at 8.

What is graph of a function?

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).

For the given situation,

The function is f(x) = -1/3 x+8​

Plot this function on the graph as shown below.

The graph shows the function and the x intercept and y intercept.

The x intercept is the point where a line crosses the x axis and y intercept is the point where a line crosses the y axis.

From the graph, the x intercept is 24 and the y intercept is 8.

Hence we can conclude that the graph of the function has the x intercept at 24 and the y intercept at 8.

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given polynomials p, q, r, and s . q≠0 ,s≠0 and r≠0

Answers

Answer:

[tex]\frac{p}{q} \div \frac{r}{s} = \frac{ps}{qr}[/tex]

Step-by-step explanation:

Given

[tex]\frac{p}{q} \div \frac{r}{s} =[/tex]

Required

Solve

[tex]\frac{p}{q} \div \frac{r}{s} =[/tex]

Turn division to multiplication

[tex]\frac{p}{q} \div \frac{r}{s} = \frac{p}{q} * \frac{s}{r}[/tex]

[tex]\frac{p}{q} \div \frac{r}{s} = \frac{ps}{qr}[/tex]

20 POINTS PLZ HELP
What would the equation y = -2x + 24 look like when graphed?

It would be a straight line.
It would be a curve.
It would be a parabola.
It would be a triangle.

Answers

Answer:

It would be a straight line.

Step-by-step explanation:

It would be a negative, linear line. It would be steep.

A multiple choice test has 30 questions each with four options. What is the probability of getting all 30 questions correct by guessing?​ do not evaluate

Answers

Answer:

1 out 4^30

not very good odds!

A park bench is 2½ yards long and ⅓ yard deep. How many square yards is its sitting area?

Answers

Answer: 1.4259

Explanation: Square 2 1/2 comes up with 6 1/4 then square root that then multiply by 1/3

The sides of triangle have lengths 6, 7, and 10. What type of triangle is it?

Answers

Answer:

Obtuse triangle

Step-by-step explanation:

[tex]10^{2} > 6^2 + 7^2[/tex]

Answer:

Acute triangle

Step-by-step explanation:

Which function is not the same as the other three?

Answers

Bottom left I think..

A solid figure is shown. It is a rectangular prism. 3 cm 5 cm 9 cm What is the volume of the figure? A. 17 cm 3 B. 27 cm 3 C. 45 cm 3 OD. 135 cm H E. 174 cm 3​

Answers

Answer:

Step-by-step explanation:

17

Find the value of x for m (arc AB)=23 and m(arc CD)=32 (the answer will be a decimal )

Answers

Ok Ok Ok Ok Ok Ok Ok Ok Ok

Select the correct answer.
A company is analyzing whether its employees prefer to skip their lunch break and leave a half-hour early each day or take a lunch break and
leave at the normal time each day. It conducts an observational study to determine which option is selected more often. At the end of the first
week, the company finds that the majority of employees prefer to skip their lunch break and leave a half-hour early each day.
The company then repeats the observational study for 10 more weeks. The study yields the same results for only five of the weeks. What
generalization can be made from the results of this study?
A. The sample is biased; therefore, a generalization cannot be made regarding which option is selected more often.
B. The majority of employees prefer to skip their lunch break and leave a half-hour early.
C. The results are inconclusive; therefore a generalization cannot be made regarding which option is selected more often.
D. The majority of employees prefer to take a lunch break and leave at the normal time each day.

Answers

Answer:

The results are inconclusive; therefore a generalization cannot be made regarding which option is selected more often.

Please give me brainliest, I really need it.

Rhada has a 3-pound bag of clay. Her craft project requires 3 ounces of clay for each batch of 5 ornaments. If she uses all of the clay, how many ornaments can Rhada make?

Answers

Answer:

80 ornaments

Step-by-step explanation:

3lb times 16oz= 48 oz.

48oz / 3 =  16 batches

o= 16 batches times 5 ornaments=  80 ornaments

80 ornaments.  Someone correct me if im wrong.

HELP QUICK!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

b,bcoz of the gravity inside the popcorn

Answer:

a) 7 pounds

b) 6.7 pounds (2 boxes of size 2 kg, 1 size 1kg)

PLZ HELP QUICKLY PLZ 20 POINTS PLZ

Answers

Answer:

I think we could use pemdas for this

Step-by-step explanation:

parenthesis

exponents

multiply

divide

add

subtract

multiply 9 and 3 would probably be best

Answer:

add -15 and 9

(a)
Plastic Rods

A factory makes rods by cutting plastic pipes that are 55 feet long into 88 rods.



Part A

How long is each rod?




0.625
feet



You may use the scratchpad to show your work.

Enter your answer as a fraction or a mixed number.

(b)
Part B

What is the total length of 1313 rods?

I just need part B I already have part A i pls just give me the answer to part B!!

Answers

The answer is part a because it has a range of 50

A bicycle and a biker have a mass of 80 kg traveling at a velocity of 3 m/s. What will happen to the kinetic energy, if the biker increases the speed to 6 m/s.​

Answers

Answer:

The kinetic energy will increase.

Step-by-step explanation:

1/2*80*9=360J .After the acceleration, it will increase to 1/2*80*36=1440J

Vertical/supplementary/Complementary Angles (Algebraic)​

Answers

these are vertical angles, and t=12.
the angle measurements are 97°, 97°, 83°, 83°. is this what you were looking for? here’s the work on how i got this:

97= 8t+1
subtract 1 from both sides
96=8t
divide both sides by 8
12=t


because 97 and 8t+1 are vertical angles, they are automatically equivalent.

to find the other angles, you would do

180-97=83

the last angle is 83° because it is a vertical angle to the other 83° angle.

if this helped please mark brainliest and if you need more to this answer or more of an explanation lmk

a truck is carrying 9 cars weighing an average of 4,500 pounds each. what is the total weight in tons of the cars on the truck.
STEP-BY-STEP PLS!!!!!!

Answers

2.25 tons
Step-by-step explanation:
It is a conversion problem. The connection between ton and pound is in the following order:
1 pound = 0.0005 tons
By multiplying each side by 4500 we can easily find the answer of this problem:
4500 pounds = 2.25 tons

Can someone please help?

Answers

Answer:

SOME OF THE WORDS ARE BLURRY TRY TAKING A BETTER PICTURE

Manos a la obra

los angulos internos de los siguientes poligonos con tu transportador, anótalos

su suma. Después, escribe el resultado en las lineas

sobre la figura y calcula su suma.

Answers

Answer:

Step-by-step explanation:

Cuales es los polígonos?

!!! PLEASE HELP ASAP !!!! just fill in the few boxes (serious answers only or i’ll report)

also if you zoom in on the picture, it’ll become clear

Answers

Answer:

See explanation

Step-by-step explanation:

sin(α + β) = sin α cos β + sin β cos α

sin(α - β) = sin α cos β - sin β cos α

[tex]\frac{1}{2}[/tex][ sin(α + β) + sin(α - β)] = [tex]\frac{1}{2}[/tex][sin α cos β + sin β cos α + sin α cos β - sin β cos α]

                               = [tex]\frac{1}{2}[/tex][2 sinα cos β]

                               = sin α cos β = [tex]\frac{1}{2}[/tex][ sin(α + β) + sin(α - β)]


A single die is rolled. Find the probability of getting an odd number or a number less
than 5.

Answers

Answer:

Answer:Rolling a odd number is 1/5 and rolling a number less than five is 3/5

Step-by-step explanation:

The distance around a meteor crater is 9,799 ft. Find the diameter of the crater. Use 22 7 for π.

Answers

Answer:

3118.7ft

Step-by-step explanation:

Given data

Circumference=  9,799 ft

We want to find the  diameter, but we need to get the radius

C= 2πr

9,799=2*22/7*r

9,799=2*3.142*r

9,799=6.284r

r=9,799/6.284

r= 1559.35

Hence the diameter is =1559.35*2

Diameter=3118.7ft

1. When observing the specimen, in which
part of the microscope will you place it?
A. base
B. stage
C. eyepiece D. inclination joint​

Answers

Answer:

b. the stage

Step-by-step explanation:

The stage typically has a stage clip on either side to hold the slide firmly in place.

Helppppp!!! due in a few minutes

Answers

Answer:

b is the answer

Step-by-step explanation:

Solve it and take y in right hand side

61°
Х
X =
degrees.
please help me

Answers

Step-by-step explanation:

61 + 90 = 151 degree

180 - 151 = 29 degree

180 - 29 = 151 degree is x value


6 21
__ = __
х 31.5

a. X = 4
b. X = 9
C. X = 110.25

Answers

Answer:

Formula for Geometric Mean is given by,. ⇒ Geometric ... Thanks!!!! 6 21 __ = __ х 31.5 a. X = 4 b. X = 9 C. X = 110.25.

Laura's new bedroom is in the shape of a square and has an area of 144 ft2
What should Laura do to find the length of each side of her bedroom?

Answers

She should find the square root, of 144 sq ft, which is 12 ftHope that helps!

The length of each side of her bedroom is 12 feet.

Here,

Laura's new bedroom is in the shape of a square and has an area of 144 ft2.

We have to find the length of each side of her bedroom.

What is Area of square?

If the side of a square is 'x' then, Area of square is [tex]x^{2}[/tex].

Now,

Laura's new bedroom is in the shape of a square and has an area of 144 ft2.

Let length of each side is x.

Then,

[tex]x^{2} = 144\\\\x = \sqrt{144} \\\\x = 12[/tex]

Hence, The length of each side of her bedroom is 12 feet.

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