A study was conducted to compare the proportion of drivers in Boston and New York who wore seat belts while driving. Data were collected, and the proportion wearing seat belts in Boston was 0.581 and the proportion wearing seat belts in New York was 0.832. Due to local laws at the time the study was conducted, it was suspected that a smaller proportion of drivers wear seat belts in Boston than New York.

Required:
a. Find the test statistic for this test using Ha: pB < pNY. (Use standard error = 0.1.)
b. Determine the p value.

Answers

Answer 1

Answer:

a) The test statistic is [tex]z = -2.51[/tex]

b) The pvalue is 0.0060.

Step-by-step explanation:

Question a:

Ha: pB < pNY

This means that the alternate hypothesis is rewritten as:

[tex]H_a: p_{B} - p_{NY} < 0[/tex]

While the null hypothesis is:

[tex]H_0: p_{B} - p_{NY} = 0[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error

pB = 0.581, pNY = 0.832

This means that [tex]X = 0.581 - 0.832 = -0.251[/tex]

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

Standard error = 0.1

This means that [tex]s = 0.1[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{-0.251 - 0}{0.1}[/tex]

[tex]z = -2.51[/tex]

The test statistic is [tex]z = -2.51[/tex]

Question b:

The pvalue is the probability of finding a proportion less than -0.251, that is, a difference of at least 0.251, which is the pvalue of Z = -2.51.

Looking at the z-table, Z = -2.51 has a pvalue of 0.0060

The pvalue is 0.0060.


Related Questions

It’s not 15 read the text

Answers

Answer:

B

Step-by-step explanation:

I think it is B because 6 times 5 = 30. So 30 times 1/2 = 60  hope this is correct and it helped and if it is not correct try C and can i get a brainliest

2.please I need help

Answers

9514 1404 393

Answer:

48°60°72°

Step-by-step explanation:

The sum of ratio units is 4+5+6 = 15, so each unit stands for 180°/15 = 12°. Multiplying the ratio units by 12° gives the angle values:

  4×12° : 5×12° : 6×12° = 48° : 60° : 72°

Angles 1 to 3 are 48°, 60°, 72°, respectively.

no links and respond with an explanation please.

Answers

Answer:

2b+1j=?

Step-by-step explanation:

2b represent 2 granola bars

Here is an expression:4 . 3t Evaluate the expression when t is 2.

Answers

Is the . And •? 4 times 3t?
If so, 4 x 3 (2)= 24

What does this mean I need help?

Answers

So those are the answers but the order I think is not the same

Find the value of x round to the nearest tenth

Answers

Answer:

8.2

Step-by-step explanation:

sin^-1 (8.2/21) is 22.984 which is pretty close to 23

need help offering 10 points if answer correct will give brainlest

Answers

Answer:

the answer is 55% are satisfied with the car

Find the rate of change for the interval [5,15]

Answers

Left side goes up 5 right side goes up 7

The rate of change between 5,15 is 10

A worker at a mill is loading 8-1b bags of flour into boxes to deliver to a local warehouse.
Each box holds 10 bags of flour.
If the warehouse orders 4 tons of flour, how many boxes are needed to fulfill the order?
boxes are needed to fulfill the order.

Answers

The answer is 100 boxes

Answer:

100

Step-by-step explanation:

look at pic 10 pts will mark brainilest

Answers

Answer:

x/4 = 14

Bottom right one

Step-by-step explanation:

x/4 = 14

Bottom right one

There were 4 total and each payed 13.

Answer:

A 4x=$13

Step-by-step explanation:

Calculate the range for both sets of data:
Set A: 8.7, 1.8, 1.2, 1.4, 6.8, 0.9, 9.8
Set B: 2.7, 3.3, 8, 7.1, 4.6, 6.3

Answers

Range of Set A=9.1
Range of Set B=5.3

Can someone tell or show me how to do this pls? will give brainleist!

Answers

It’s answer to this question is 3:2

In simplest radical form, what are the solutions to the quadratic equation 6 = x2 - 10/?
Quadratic formula: * = -bt/b? 40c
20
O x=5+31
O x = 51/19
O x = 5+219
O x = 5+2/31

Answers

Answer:

[tex]x = 5 \± \sqrt{31}[/tex]

Step-by-step explanation:

Given

[tex]6 = x^2 - 10x[/tex]

Required

The solution in radical form

[tex]6 = x^2 - 10x[/tex]

Rewrite as:

[tex]x^2 - 10x - 6 = 0[/tex]

Using the quadratic formula, we have:

[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where

a = 1

b = -10

c = -6

So, we have:

[tex]x = \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*(-6)}}{2*1}[/tex]

[tex]x = \frac{10 \± \sqrt{100 +24}}{2*1}[/tex]

[tex]x = \frac{10 \± \sqrt{124}}{2}[/tex]

Split the roots

[tex]x = \frac{10 \± \sqrt{4 * 31}}{2}[/tex]

Express [tex]\sqrt 4[/tex] as 2

[tex]x = \frac{10 \± 2\sqrt{31}}{2}[/tex]

Split the fraction

[tex]x = \frac{10}{2} \± \frac{2\sqrt{31}}{2}[/tex]

[tex]x = 5 \± \sqrt{31}[/tex]

7.500/3.125 What is written in decimal form? 3.195 A. 0.116 O B. 2.4 O c. 4.375 D. 75.3125​

Answers

the answer is B: 2.4! hope this helped...

Convert 85 feet per day into miles per year.

Answers

Answer:

85 feet per day = 5.879846 miles per year.

Answer:

5.88 miles

Step-by-step explanation:

85 x 365 =31,025 feet per year

31025/5280 = 5.88 miles

Please help me.......

Answers

Answer:

[tex]57\frac{3}{11}[/tex] = c

or

[tex]57.\overline{27}[/tex] = c

Step-by-step explanation:

We know that the diameter of a circle multiplied by [tex]\pi[/tex] is the circumference, so we can create this equation:

180 = c * [tex]\pi[/tex]

Your teacher told us to assume [tex]\pi[/tex] is 22/7, so we'll put that in

180 = c * [tex]\frac{22}{7\\}[/tex]

To get c by itself, we divide both sides by 22/7

[tex]\frac{180}{\frac{22}{7}}[/tex] = c

Dividing by a number is the same as multiplying by its reciprocal, so we'll multiply 180 by 7/22

180 * [tex]\frac{7}{22}[/tex] = c

Evaluate

[tex]\frac{1260}{22}[/tex] = c

[tex]57\frac{3}{11}[/tex] = c

If you want a decimal instead:

[tex]57.\overline{27}[/tex] = c

Susanne is going to college and was informed that she will get a grant to pay for
her tuition. Which statement describes a grant?

Answers

Answer:

what are the options????

What is the definition of independent​ samples? A. All samples of the same size have an equal chance of being selected from the population. B. The sample selected from one of the populations has no effect or bearing on the sample selected from the other population. C. The sample selected from one of the populations is paired with a sample selected from the other population.

Answers

Answer:

B. The sample selected from one of the populations has no effect or bearing on the sample selected from the other population.

Step-by-step explanation:

In statistical analysis, the use of independent samples for diverse studies is common.

Independent samples are such that the sample selected from one of the populations has no effect or bearing on the sample selected from the other population.

This means that samples are selected randomly in such a way that an observation obtained from a sample does not depend on the values obtained from the observation of another sample from the other population.

Question 6 of 10
Suppose that there were a strong correlation between the variables dand f.
Which of these is a true statement?
A. d must cause f.
O B. dmay cause f.
O C. dmust not cause f.
D. f must cause d.

Answers

C is the correct answer to this question

what is the range of f?​

Answers

Answer:

Range is [tex]-5 \le y \le 5[/tex]

Range in interval notation is  [-5, 5]

==========================================================

Explanation:

Refer to the diagram below. As marked in red, the smallest y value is y = -5. The largest y value is y = 5. The range is the set of y values between these endpoints, including both endpoints.

We can say the range is [tex]-5 \le y \le 5[/tex]

In interval notation, we write that as [-5, 5]. The use of square brackets tells the reader that the endpoints are included as part of the range.

Jason is watering his garden. He uses 2.75 gallons of water each minute. How much
water does Jason use after watering his garden for 3 minutes?

Answers

Answer:

8,25

Step-by-step explanation:

easy 5th grade math please look at photo and show work. Giving brainliest!!

Answers

Answer:

D) 13 1/8

Step-by-step explanation:

105/8=13 1/8 cups

Hope this helped! :)

Which of the following statements about rational numbers is not correct??

A. All rational numbers can be written in the form a/b, where b =/ 0
B. All whole numbers are also rational numbers.
C. Rational numbers cannot be negative.
D. All integers are also rational numbers.

P.S the =/ are actually together in one thing they aren't separate. I would take a picture but it is blurry.​

Answers

Answer:

I'm pretty sure it's C.

Step-by-step explanation:

Please help me out on this!!

Answers

Answer:

12.68

Step-by-step explanation:

Find the midpoint of the segment below and enter its coordinates as an
ordered pair. If necessary, express coordinates as fractions, using the slash
mark (7) for the fraction bar.
10
(3,7)
Answer here
-10
10
(2, -1)
-10

Answers

Answer:

([tex]\frac{5}{2}[/tex], 3)

Step-by-step explanation:

I got 5/2 as my x variable and 3 for my y variable to being the midpoint. In which I added both my x variables provided ( 3 and 2 ) and then I divided them by two to get half of that (since you are looking for in between those two digits technically so you are wanting to find the midpoint or the middle of that line segment). I also did the same with the two y variables as well which were 7 and -1, then I divided both by two to get the variable 3.

Answer:

5/2, 3

Step-by-step explanation:

that should be your answer (hopefully)

Need help!!!!! with this test pls IM SORRY FOR ASKING SO MANY TIMES BUT PLS HELP

Answers

Answer:

I hope its 15/10

Step-by-step explanation:

please let me know if its wrong

I think it’s 3/10 because 9/10 - 6/10 is 3/10

What is the area of this triangle, in square units? Explain or show your reasoning.

Answers

Answer:

Half of the base multiple by the height

0.7% of what number is 35

Answers

Answer:

The answer is 0.25

Step-by-step explanation:

PLEASE HELPPPP
Find the product or type
"impossible"
2
[3 1 -6
0
1]
[?]

Answers

Answer:

0

Step-by-step explanation:

(3 * 2) + (1 * -6) + (1 * 0)

  6      +     -6    +    0    = 0

Find the surface area of the square pyramid shown below. Units2
Base is 8 and hight is 6

Answers

The surface area for a pyramid that is: Base 8 and height 6

Would be: 42.87

Other Questions
What advantages did the Greeks have over the Persians - think about how geography influence the growth of city-states and what do you know about Sparta? Explain each part of the water cycle What is the importance of knowing cranium size, dentition, number of toes/fingers, flexibility of joints, locomotion styles, body size, the skeleton, etc. Of primates? What part of the draft do most writers focus on first?the bibliographythe bodythe introductionthe conclusionWhen is it best to use a quote instead of paraphrasing or summarizing information?when a speech or article is too long to be fully included in your own reportwhen the authors exact words make a point in a particularly unique and precise waywhen you are trying to provide directions for somethingwhen you are trying to communicate a conclusion that you dont fully understand They have to keep quiet because tge mass is about to begin answer: letter C Amanda's age is one-half of Sally's.Which variable expression represents Amanda's age?s + 212+ss22sPlz help will give brainilist El concepto de norma jurdica utilizando esas palabras: leyes, bien, ciudadano, cumplimiento, sancin, generales. Read itLegend has it that the stimulating effect of coffee beans was discovered around 800 CE. The story goes that agoat herder named Kaldi was living in Ethiopia. One day, he noticed that his goats were eating the red berries ona certain plant. After eating these berries, which contained coffee beans, the goats were full of energy, Kaldidecided to try the berries for himself. He also was filled with energy. Kaldi learned that these berries were anatural source of energy. The beans inside were then used to make primitive forms of coffee.Do It!Kaldi's discovery wasA fragrantaccidentalundamagedDcostlySubmito If there is an increase of carbon in the atmosphere, would there be an increase or decrease in the ocean? Please answer asap with explanation ???Help ? ................ a standard number cube is tossed. find the following probability. P(less than 3 or even) Help me quickly plz In your own words, Explain how the Treaty of Versailles set up Europe for future problems. Simplify the following fractions to their lowest possible form using the Greatest Common Factor What resource did France and Britain want to control in Syria and Iraq?, will give brainlist if correct! How many zero dimensional objects are labeled on the object shown above? Taking care of yourself can sometimes be hard work and can even lead to feelings of _______________.Group of answer choicesexcitementdiscouragementexhaustionsadness Anita y sus amigas...muy amables y generosas.estnsonhay tienen WHATS THE EQUATION & TELL HOW YOU GOT IT !!PLEASE HELP !! ILL GIVE BRAINLIEST!! 100 POINTS !! NO FAKE ANSWERS.