A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2868 occupants not wearing seat belts, 28 were killed. Among 7791 occupants wearing seat belts, 14 were killed. Use a 0.05 significance level to testthe 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?O A. Ho: P, 2 P2H1: P1 + P2VB. Ho: P1 = P2H1: P1 > P2O C. Ho: P1 = P2H1: P1 A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 230 vinyl gloves, 68% leaked viruses. Among 230 latex gloves, 8% leaked viruses. Using the accompanying display of thetechnology results, and using a 0.01 significance level, test the claim that vinyl gloves have a greater virus leak rate than latex gloves. Let vinyl gloves be population 1.A Click the icon to view the technology results.What are the null and alternative hypotheses?OC. Ho: P1 + P2VA. Ho: P1 = P2H1: P1 > P2O B. Ho: P1 = P2H1: P1 # P2H1: P1 = P2OF. Ho: P1 < P2O D. Ho: P1 = P2H1: P1 P2H: P1 = P2H: P1 = P2Identify the test statistic.(Round to two decimal places as needed.)

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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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Astudy was conducted to determine the proportion of people who dream in black and white instead of color. Among 317 people over the age of 55, 63 dream in black and white, and among 300 people under the age of 25, 17 dream in black and white. Use a 0.01 significance level to test the claim that the proportion of people over 55 who dreamn tackand white is greater than the proportion for those under 25. Complete parts (a) through (c) below. a. Test the claim using a hypothesis test. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and altenative hypotheses for the hypothesis test? OA. Ho P =P2 H, P P2 O B. Ho P1 SP2 H,: P, #P2 O C. Ho P1 #P2 H, P, = P2 O D. H, P1 =P2 H P P2 O E. H, P1 =P2 H,: P,
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.
The accompanying table shows results of challenged referee calls in a major tennis tournament. Use a 0.05 significance level to test the claim that the gender of the tennis player is independent of whether a call is overturned. Was the Challenge to the Call Successful? Yes No Men 246 790 Women 351 550
Suppose that in a random selection of 100 colored candies, 23% of them are blue. The candy company claims that the percentage of blue candies is equal to 26%. Use a 0.05 significance level to test that claim.
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Suppose that in a random selection of 100 colored candies, 20% of them are blue. The candy company claims that the percentage of blue candies is equal to 29%. Use a 0.01 significance level to test that claim.
Researchers reported a study in which 409 domestic violence defendants were randomly assigned to counseling and probation (the experimental group) or just probation (the control group). Out of people 238 in the counseling group, 51 were arrested within 12 months. Out of 171 people assigned to probation,41 were arrested within 12 months. Determine whether counseling lowered the arrestrate; use a 0.05 significance level. Start by comparing the percentages. 1. Write the hypothesis for the test. Ho ___ Ha ____ 2. z = ___ (Round to two decimal places asneeded.) 3. p-value = ____ (Round to three decimal places asneeded.) 4. What is the conclusion for this test? Use a significance level of 0.05.
b. In 2018, a sample of 300 in-store shoppers showed that 44 paid by debit card. The results shown in the table below were obtained when a sample of 400 in-store shoppers were surveyed in 2019. Year 2018 2019 Shoppers Surveyed Shoppers Paying by Debit Card 44 Formulate appropriate hypotheses to test whether the percentage of debit card shoppers increased, and conduct the test using a significance level of 0.01. What is your conclusion? 300 400
Suppose that in a random selection of 100 colored candies, 20% of them are blue. The candy company claims that the percentage of blue candies is equal to 22%. Use a 0.01 significance level to test that claim.

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