**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

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Since an instant replay system for tennis was introduced at a major tournament, men challenged 1415 referee calls, with the result that 419 of the calls were overturned. Women challenged770 referee calls, and 225 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. A. Identify the test statistic. z equals (Round to two decimal places as needed.) B. Identify the P-value. P-value equals (Round to three decimal places as needed.) C. Test the claim by constructing an appropriate confidence interval. The 99% confidence interval is less than left parenthesis p 1 minus p 2 right parenthesis less than . (Round to three decimal places as needed.)
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The US Department of Energy reported that 49% of homes were heated by natural gas. A random sample of 327 homes in Oregon found that 143 were heated by natural gas. Test the claim that proportion of homes in Oregon that were heated by natural gas is different than what was reported. Use a 10% significance level. Give answer to at least 4 decimal places. a. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) H0: H1: Based on the hypotheses, compute the following:b. Test Statistic = c. p-value = d. Based on the above we choose to e. The correct summary would be: that the proportion of homes in Oregon that were heated by natural gas is different than what the DOE reported value of 49%. Question HelpQuestion 14: Video1
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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.
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Listed below are the lead concentrations (in µg/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. Assume that a simple random sample has been selected. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 14.0 μg/g. 2.95 6.46 6.00 5.46 20.49 7.51 12.02 20.45 11.50 17.54 Identify the null and alternative hypotheses. Ho H₁: (Type integers or decimals. Do not round.)
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