6. In a survey of 460 drivers from the South, 394 wear a seat belt. In a survey of 340 drivers from the Northeast, 287 wear aseat belt. At x = 0.09, can you support the claim that the proportion of drivers who wear seat belts is greater in the Souththan in the Northeast? Assume the random samples are independent. Complete parts (a) through (e).(a) Identify the claim and state Ho and Ha.The claim is "the proportion of drivers who wear seat belts in the South is greater than in the Northeast."Let p, represent the population proportion for the South, and p2 represent the population proportion for the Northeast. StateHo and Ha-Choose the correct answer below.C. Ho: P1 2 P2Ha: P1 P2Ha: P1 SP2B. Ho: P1 P2(b) Find the critical value(s) and identify the rejection region(s).The critical value(s) is(are)(Use a comma to separate answers as needed. Type an integer or a decimal. Round to two decimal places as needed.)Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round totwo decimal places as needed.)O A. z>O B. z<andz>Oc.

6. (a) The hypothesis is, Null hypothesis: H0:p1≤p2 Alternative hypothesis: Ha:p1>p2 Correct Answer: Option E. (b) Computation of critical value: The level of significance is 0.09. The test is right tailed test then, α=0.091-α=0.91 The critical value of z-distribution can be obtained using the excel formula “=NORM.S.INV(0.91)”. The critical value is 1.34. Thus, the critical value is 1.34. Rejection region: If zcalc>zcrit=1.34, then reject the null hypothesis. Correct Answer: Option A. z>1.34.(c) The pooled estimate is, p¯=r1+r2n1+n2=394+287460+340=681800=0.85125 The sample proportion of drivers who wear seat belts in the south is, p^1=r1n1=394460=0.8565 The sample proportion of drivers who wear seat belts in the northeast is, p^2=r2n2=287340=0.8441 The standardized test statistic is, z=p^1-p^2p¯1-p¯n1+p¯1-p¯n2=0.8565-0.84410.851251-0.85125460+0.851251-0.85125340=0.01240.0254=0.48 Thus, the standardized test statistic is 0.48. (d) The test statistic (0.48) is less than the critical value (1.34). Based on rejection region, fail to reject the null hypothesis. Correct Answer: Fail to reject H0 because the test statistic is in the rejection region. (e) The null hypothesis is fail to reject indication that at the 9% significance level, there is sufficient evidence to reject the claim. Correct Answer: Option D.

Math

Statistics

6. In a survey of 460 drivers from the South, 394 wear a seat belt. In a survey of 340 drivers from the Northeast, 287 wear a seat belt. At x =0.09, can you support the claim that the proportion of drivers who wear seat belts is greater in the South than in the Northeast? Assume the random samples are independent. Complete parts (a) through (e). !!

6. In a survey of 460 drivers from the South, 394 wear a seat belt. In a survey of 340 drivers from the Northeast, 287 wear a seat belt. At x =0.09, can you support the claim that the proportion of drivers who wear seat belts is greater in the South than in the Northeast? Assume the random samples are independent. Complete parts (a) through (e). !!

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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