The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 55 records of automobile driver fatalities in a certain county showed that 34 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use α = 0.01. Solve the problem using both the critical region method and the P-value method. Since the sampling distribution of is the normal distribution, you can use critical values from the standard normal distribution (Round any intermediate calculations to at least four decimal places. Round the test statistic and critical value to two decimal places. Round the P-value to four decimal places.)

Answers

Answer 1

Solution :

Population proportion, P = 77%

Sample size is given by n = 55

Sample proportion = [tex]$\frac{x}{n} = \frac{34}{55}= 0.61$[/tex]

Null hypothesis

The population proportion of the fatalities of the drivers that are related to alcohol = 77%

[tex]$H_0 : P = 77$[/tex] %

[tex]$H_0 : P = 0.77$[/tex]

Alternate hypothesis, [tex]$H_a : P < 0.77$[/tex]

Therefore, the test statistics = [tex]$\frac{0.61 - 0.77}{\sqrt{\frac{0.7 \times 0.23}{55}}}$[/tex]

                                                = -3.2

Critical value = -1.64

and the rejection zone : test zone, -1.645

Therefore, we fail rejecting [tex]$H_0$[/tex]

p value 0.0582

rejection zone :: p value , 0.01

So we fail to reject [tex]$H_0$[/tex]

Thus the data does not indicate the population proportion of the drivers fatalities which are related to the alcohols which is less than 77% in the county of Kit Carson.


Related Questions

A function has the function rule y = x - 7. If the input is 4, what is the output?

A. 3
B. -3
C. 11
D. -11

Answers

Answer:

The awnser is B. -3

Step-by-step explanation:

4-7=-3

x-7= y

Greta uses 2oz of pasta to make 2/3 of a serving of pasta.How many oz of pasta are there per serving

Answers

Answer:

3oz of pasta per serving

Step-by-step explanation:

Given parameters:

Number of oz of pastas used = 2oz

Quantity of serving  = [tex]\frac{2}{3}[/tex]

Unknown:

Number of oz of pasta per serving  = ?

Solution:

To solve this rate problem use;

  Number of oz of pasta per serving = [tex]\frac{number of oz of pasta}{number of serving}[/tex]  

 Number of oz of pasta per serving  = [tex]\frac{2}{\frac{2}{3} }[/tex]  = 2 x [tex]\frac{3}{2}[/tex]   = 3oz of pasta per serving

What is the purpose of having a Institutional Review Boards?

Answers

Answer:

This group review serves an important role in the protection of the rights and welfare of human research subjects. The purpose of IRB review is to assure, both in advance and by periodic review, that appropriate steps are taken to protect the rights and welfare of humans participating as subjects in the research

Этот групповой обзор играет важную роль в защите прав и благополучия участников исследования. Цель обзора IRB состоит в том, чтобы как заранее, так и путем периодического обзора убедиться, что были предприняты соответствующие шаги для защиты прав и благополучия людей, участвующих в качестве субъектов исследования.

Consecutive interior angles are

Answers

Answer:

When two lines are crossed by another line (called the Transversal): The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.

Answer:

When two lines are crossed by another line (called the Transversal): The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.

Step-by-step explanation:

The factors from least to greatest are

Answers

Answer:

wheres the picture?

Step-by-step explanation:

im ready but i dont know the problem

what is true about the solution to the system of inequalities shown? y < 1/3x -1
y<1/3x-3

Answers

Answer:

Step-by-step explanation:

All values that satisfy y ≤ (1/3)x - 3 are solution

Is -9.25 greater than 6 1/2

Answers

Answer:

No sir

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Negatives are always less than positives.

Look at it on a number line:

Hope this helped!

What are the steps in order to correctly solve the equation
4x1/3 + 9 = 25
and what is the correct answer?

Answers

Answer:

X=12

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Answer:

x=12

Step-by-step explanation:

step one is multiplying rest is in pic mark as brainliest

Decrease £7200 by 5%
and what increases £2700 by 20%

Answers

Answer:

Decrease:£7,560

increase:£3,240

Express the number 3,440,000 in Scientific Notation.

Answers

Answer:

3.44 * 10^6

Step-by-step explanation:

3,440,000

3.44 * 10^6

Answer: It would be 3.44 × 10^6.

is the expression a valid way to calculate a 15% tip on a cab fare of d dollars?

Answer yes or no


EXPRESSION

0.10d + 0.05d Yes or No


0.85d Yes or No


1.015d Yes or No


0.15d Yes or no

Answers

Answer: Yes, no, no, Yes

Which expression has a negative value?
O 2+ 12
O (-3)(-8)
O 10-(-18)
0-35-5

Answers

Answer:

-35-5 has a negative value

Step-by-step explanation:

-35 - 5 = -40

If this helps can I get brainliest? Thanks

how to divide mixed fracions​

Answers

Answer:

Change each mixed number to an improper fraction.

Multiply by the reciprocal of the divisor, simplifying if possible.

Put answer in lowest terms.

Check to be sure the answer makes sense.

Step-by-step explanation:

Hope you have a good day

Joe says there is a total of 40 students. Do you agree with Joe? Why or Why not?

Answers

Answer:

Step-by-step explanation:

Well the question you should be asking first is....what is part a? Because if you put that picture up i could mostly help sooo

SI-
Class:
28
Graphing Review #2 (8)
Name: GO
1. The following database shows ice cream sales based on daily high temperatures.
Ice Cream Sales vs Temperature
Temperature C Ice Cream Sales
$215
14.2
16.40
$325
11.99
$185
15.2
600
$332
18.5°
$406
.
22.10
$522
$500
19.40
$412
25.1
3400
$614
15300
a) Construct a scatter plot
to compare the total sales
to the daily high temperature,
b) What type of correlation is $200
shown by the data?
100
c) Draw a line of best fit.
d) Predict what the total sales would
se if the temperature was 17°C ?
10
Ve6
Temperature

Answers

Answer:

Step-by-step explanation:

SI-

Class:

28

Graphing Review #2 (8)

Name: GO

1. The following database shows ice cream sales based on daily high temperatures.

Ice Cream Sales vs Temperature

Temperature C Ice Cream Sales

$215

14.2

16.40

$325

11.99

$185

15.2

600

$332

18.5°

$406

.

22.10

$522

$500

19.40

$412

25.1

3400

$614

15300

a) Construct a scatter plot

to compare the total sales

to the daily high temperature,

b) What type of correlation is $200

shown by the data?

100

c) Draw a line of best fit.

d) Predict what the total sales would

se if the temperature was 17°C ?

10

Ve6

Temperature

what is the domain of this scatter plot?

Answers

Answer:

this answer should be green

(-8,7), m=5

Y-7=5(x+8)

Answers

Answer:

The line of the equation is:

[tex]y-7=5\left(x+8\right)[/tex]

Step-by-step explanation:

Given

m=5point (-8, 7)

As the point-slope form is given by

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope

substituting the values m=5 and the point (-8, 7)

[tex]y-7=5\left(x-\left(-8\right)\right)[/tex]

[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]

[tex]y-7=5\left(x+8\right)[/tex]

Therefore, the line of the equation is:

[tex]y-7=5\left(x+8\right)[/tex]

Use the provided information to write the standard form equation of the parabola.

Opens up or down, and passes through (8,0), (13,-5), and (12,0)

Answers

Answer:

              f(x) =  -x² + 20x - 96

Step-by-step explanation:

Parabola f(x) = ax² + bx + c passing through points (8,0) and (12,0) means that 8 and 12 are its root and (x-8) and (x-12) are its factors

So we get:

               f(x) = a(x - 8)(x - 12)

The parabola passes through point (13, -5) that means if x=13 then f(x)=-5

So:

      -5 = a(13 - 8)(13 - 12)  

      -5 = a(5)(1)

      -5 = 5a

       a = -1          {<0 so parabola opens down}

Therefore:

                 f(x) = -(x - 8)(x - 12)

And expanding:

                f(x) = -(x² - 12x - 8x + 96)

So the standard form equation of the parabola:

                f(x) =  -x² + 20x - 96

Plz help me plz I need answer and explanation plz

plz answer me the due date within 10 minute plz answer me

Answers

9514 1404 393

Answer:

  A = {put, the, cake, in, basket}

  B = {is, the, cake, in, basket}

  C = {no, the, cake, in, basket}

  D = { }

Step-by-step explanation:

A = (A -B) ∪ (A∩B) ∪ (A∩C}

A = {put} ∪ {the, cake, in, basket} ∪ {the, cake, in, basket}

A = {put, the, cake, in, basket}

__

B = (B -A) ∪ (B -C) ∪ (B∩A) ∪ (B∩C)

B = {is} ∪ {is} ∪ {the, cake, in, basket} ∪ {the, cake, in, basket}

B = {is, the, cake, in, basket}

__

C = (C -B) ∪ (C∩A) ∪ (C∩B)

C = {no} ∪ {the, cake, in, basket} ∪ {the, cake, in, basket}

C = {no, the, cake, in, basket}

__

D = { } . . . . not defined anywhere

Which of the following is 5/9 closest to? a 1/2 b 0 c 1​

Answers

Answer: do you have a picture of the assignment?

Step-by-step explanation:

A large cooler full of water is being drained. The relationship between the amount of water in the cooler in liters and the number of minutes the cooler is draining is shown
the provided graph. What is the meaning of the intercept in this situation?

Answers

Answer:

The cooler is empty after 15 minutes.

Step-by-step explanation:

which number liin shows -5x+10>-15

A. -10 to 1
B. 5 to 10
C. 1 to 10
D. -10 to 5

Answers

I think the answer is D cuz -5x+10>-15 is x < 5
Answer is D ! Hope this helps:)

Can you help me with this? 3

Answers

Answer:

acute

Step-by-step explanation:

Find the y-intercept for the following equation.
4x + 9y = 27

Answers

Answer:

(0,3)

Step-by-step explanation:

Solve the system by graphing.
y = 3x -4
y= -1/2x +3

Answers

Answer:

(2,2)

Step By Step Solution:

(2,2)

If x=5 what is the perimeter of the triangle ??????

Answers

Answer: 21

Step-by-step explanation: Replace the x with 5.

2(5) + 11 = 10 + 11 = 21

6(5) - 9 = 30 - 9 = 21

Which numbers are solutions of h2+4=8h−3?
A. 1
B. 3
C. 5
D. 7
it asks which 2 are correct, please help.

Answers

Answe B
I could be wrong
Explanation

Not sure but I think its b and d

PLEASE HELP !! Timed test Which equation represents the relationship between x and y in the table?

Answers

Answer:

divided by 5

Step-by-step explanation:

Hope that helps!

Answer:

Answer Choice D- y=x/5

Step-by-step explanation:

All the numbers in the table fit in and correlate to the equation. You can substitute any of the x's into the equation and get y correctly this is why the equation y=x/5 is the solution.

If you can please make my answer the brainliest that would be much appreciated. Thanks!

check if the two triangles are congruent​

Answers

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

The answer is yes they are congruent because if you flip the second one they are the same.

I hope this helped :)

Geometry problem plz help?

Answers

Step-by-step explanation:

let eqn be y = mx + b.

m = (9 - 1)/(2 - 4) = -4

sub (4, 1):

1 = -4(4) + b

b = 17

therefore, it's y = -4x + 17

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Other Questions
n which countries do most of the population belong to the same ethnic group? Swaziland Kenya Lesotho Somalia Nigeria A copy machine makes 126 copies in 4 minutes and 30 seconds. How many copies does it make per minute? Identify different ways of interpreting the Constitution. (Site 1) How will humans be affected by changes in the climate?I need a short answer In triangle OPQ, p = 38 cm, q = 29 cm and Angle O=39. Find the length of o, to the nearestcentimeter. who teachers Helen to spell the word doll? What is the Spanish word for "farm"?O A. EstanqueB. GranjaC. Bosque0 D. Senda About how much should the gratuity for the restaurant server be? Round the percent of gratuity to the nearest benchmark percent to find the answer.$ _____ HELP ALMOST DUE! Ill mark someone brainliest if theres 2 answers! What byproducts or environmental changes are created through plastic pollution? Sheila's class recycles a total of 6 pounds of paper in 2weeks. After 5 weeks, how many pounds of paper willSheila's class have recycled? Who is the thief in "Once Upon a Time Tukey Trouble"? if correct ill give you brainlest two times x divide five 14 fish out of 100,000 are blue, what would this be as a percentage? Find x AND the length of each side if FGH is an equilateral triangle. (Round to the nearest tenth if needed) One benefit of repeating the self improvement process is that you can ______. a. Pay lower fees to plan and maintain the new goal b. See everything with fresh eyes c. Use skills and information from previous goals d. Reduce the time spent improving at work Please select the best answer from the choices provided A B C D Mark this and return Jamie purchased 12 lbs of chicken for $100. She estimates serving each person 4 oz of chicken. How many guests are being served? A parent is using a garden hose to fill up a small inflatable pool for her young child. Thepool has a capacity of 90 gallons. She turns the water off after 5 minutes, but leaves thehose in the pool for another 3 minutes before putting it away.In this situation, the relationship between the gallons of water in the pool and the 8minutes since the parent started filling the pool can be seen as a function.1. In that function, which variable is independent? Which one is dependent? What is the median of the numbers ? PLEASE ANSWER FAST!! WIIL GIVE BRAINLIESTWhich equation correctly shows how to determine the distance between the points (9,-2) and (6,3) on a coordinategrid?Od-V(6-3)?+ (9-(-2))?Od-V(6+3)+(9+(-2))?)9O = 6 9) + (3-(-2)d-/6+9)2+(3+(-2)2