**Hypothesis Testing on Seat Belt Effectiveness**A study is conducted to determine the effectiveness of seat belts in reducing fatalities in car crashes. A simple random sample is collected, and the data are as follows:- Among 2,807 occupants not wearing seat belts, 33 were killed.- Among 7,718 occupants wearing seat belts, 19 were killed.The task is to use a 0.01 significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below.**a. Test the claim using a hypothesis test.**Consider the first sample to be occupants not wearing seat belts and the second sample to be occupants wearing seat belts. Determine the null and alternative hypotheses for this test.Possible hypotheses are:- **A.** - \( H_0 \): \( p_1 = p_2 \) - \( H_1 \): \( p_1 > p_2 \)- **B.** - \( H_0 \): \( p_1 \geq p_2 \) - \( H_1 \): \( p_1 < p_2 \)- **C.** - \( H_0 \): \( p_1 \leq p_2 \) - \( H_1 \): \( p_1 > p_2 \)- **D.** - \( H_0 \): \( p_1 \geq p_2 \) - \( H_1 \): \( p_1 \neq p_2 \)- **E.** - \( H_0 \): \( p_1 \leq p_2 \) - \( H_1 \): \( p_1 \neq p_2 \)- **F.** - \( H_0 \): \( p_1 = p_2 \) - \( H_1 \): \( p_1 \neq p_2 \)Select the appropriate hypothesis pair to continue with the test. *Note: \( p_1 \) and \( p_2 \) represent the proportions of fatalities in each group (not wearing vs. wearing seat belts).*

We want to find null hypothesis and alternate hypothesis

Answered: A simple random sample of front-seat…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 294 people over the age of 55, 78 dream in black and white, and among 291 people under the age of 25, 10 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below indentify test statistic p value= the 90% confidence interval is
A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2774 occupants not wearing seat belts, 29 were killed. Among 7811 occupants wearing seat belts, 10 were killed. Use a 0.05 significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of occupants not wearing seat belts and the second sample to be the sample of occupants wearing seat belts. What are the null and alternative hypotheses for the hypothesis test? OA. Ho: P₁ = P2 H₁: P₁ P2 O D. Ho: P₁ P2 H₁: P₁ = P2 Identify the test statistic. z= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? OB. Ho: P₁ P2 H₁: P₁ P₂ the significance level of a = 0.05, so O E. Ho: P₁ SP2 H₁: P₁ P2 The P-value is wearing seat belts. b. Test the claim…
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1407 referee calls, with the result that 425 of the calls were overturned. Women challenged 771 referee calls, and 213 of the calls were overturned. Use a 0.01 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of male tennis players who challenged referee calls and the second sample to be the sample of female tennis players who challenged referee calls. What are the null and alternative hypotheses for the hypothesis test? A. Upper H 0 : p 1 equalsp 2 Upper H 1 : p 1 not equalsp 2 B. Upper H 0 : p 1 not equalsp 2 Upper H 1 : p 1 equalsp 2 C. Upper H 0 : p 1 greater than or equalsp 2 Upper H 1 : p 1 not equalsp 2 D. Upper H 0 : p 1…
PLEASE ONLY SELECT THE ANSWERS AS SHOWN FOR THE MULTIPLE CHOICE, SUCH AS OPTION 1, 2, ETC. In a study of 796 randomly selected medical malpractice lawsuits, it was found that 489 of them were dropped or dismissed. Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed. Which of the following is the hypothesis test to be conducted? A. H0: p>0.5 H1: p=0.5 B. H0: p<0.5 H1: p=0.5 C. H0: p≠0.5 H1: p=0.5 D. H0: p=0.5 H1: p>0.5 E. H0: p=0.5 H1: p<0.5 F. H0: p=0.5 H1: p≠0.5 What is the test statistic? Z=≠ (Round to two decimal places as needed.) What is the P-value? P-value= (Round to three decimal places as needed.) What is the conclusion about the null hypothesis? Reject the null hypothesis because the P-value is greater than the significance level, α. Reject the null hypothesis because the P-value is less than or equal to the significance level, α. Fail to reject the null hypothesis because the…
It is believed that 11% of all Americans are left-handed. A college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus. In a random sample of 120 students of its 12124 students, 15 were left-handed. Does this provide enough evidence to show that students at this college have a higher percentage of left-handers than the general American population? Use a 10% level of significance.
Every year during home football games the Carroll College fans do push-up contests to see how many they can do. Suppose that a curious stats student in the stands kept track of the number of push-ups completed for several students of both genders. Males 31 31 24 18 30 16 28 13 26 23 Females 16 11 10 1 26 26 6 9 16 32 Consider the hypothesis that males in this contest can do more pushups than females. Use an significance level to test the claim. The test statistic is Construct a 99% confidence interval for the mean of the differences between males and females.
A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2791 occupants not wearing seat belts, 39 were killed. Among 7644 occupants wearing seat belts, 19 were killed. Use a 0.05 significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of occupants not wearing seat belts and the second sample to be the sample of occupants wearing seat belts. What are the null and alternative hypotheses for the hypothesis test? OC. Ho: P1 2 P2 H1: P1 #P2 O B. Ho: P1 = P2 O A. Ho: P1 SP2 H: P1 #P2 H1: P1 P2 O F. Ho: P1 #P2 H: P1 = P2 Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.)
A political scientist claims that 38% of first-year college students characterize themselves as being “moderate” or “middle of the road” as far as their political affiliation is concerned. Believing this claimed value is too high, you survey a random sample of 400 first-year college students and find that 120 characterize themselves as being “moderate” or “middle of the road.” Based on this information, what will the test statistic be? Choose the answer below that is closest to what you calculate, and try not to do a lot of rounding until you get to the very end of your calculations. 1. -0.3 2. -1.2 3. -2.6 4. -3.3 5. None of the other answer options are correct because the test statistic should be positive, not negative.
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1394 referee calls, with the result that 428 of the calls were overturned. Women challenged 755 referee calls, and 230 of the calls were overturned. Use a 0.05 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of male tennis players who challenged referee calls and the second sample to be the sample of female tennis players who challenged referee calls. What are the null and alternative hypotheses for the hypothesis test? A. Ho: P₁ P2 H₁: P₁ P2 D. Ho: P₁ = P2 H₁: P₁ P2 Identify the test statistic. Z= (Round to two decimal places as needed.) B. Ho: P₁ = P2 H₁: P₁ P2 E. Ho: P₁ P2 H₁: P₁ = P2 C. Ho: P₁ = P2 H₁: P₁ P2 OF. Ho: P₁ H₁: P₁ P2 P2
curry
A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2999 occupants not wearing seat belts, 31 were killed. Among 7626 occupants wearing seat belts, 14 were killed. Use a 0.05 significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of occupants not wearing seat belts and the second sample to be the sample of occupants wearing seat belts. What are the null and alternative hypotheses for the hypothesis test? A. Ho: P₁ ≤P2 H₁: P₁ P2 D. Ho: P₁ P2 H₁: P₁ = P2 Identify the test statistic. B. Ho: P₁ = P2 H₁: P₁ P2 E. Ho: P₁ = P2 H₁: P₁ P2 Z= (Round to two decimal places as needed.) C. Ho: P₁ H₁: P₁ P2 P2 F. Ho: P₁ = P2 H₁: P₁ P2
Since an instant replay system for tennis was introduced at a major tournament, men challenged 1432 referee calls, with the result that 421 of the calls were overturned. Women challenged 742 referee calls, and 214 of the calls were overturned. Use a 0.01 significance level to test the claim that men and women have equal success in challenging calls. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of male tennis players who challenged referee calls and the second sample to be the sample of female tennis players who challenged referee calls. What are the null and alternative hypotheses for the hypothesis test? OA. Ho: P₁ P₂ H₁: P₁ P2 O D. Ho: P1 P2 H₁: P₁ P₂ Identify the test statistic. Z= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is b. Test the claim by constructing an…

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS