7. In a survey of 1000 drivers from Region A, 859 wear a seat belt. In a survey of 1000 drivers from Region B, 904 wear a seatbelt. At a = 0.01, is there evidence to support the claim that the proportion of drivers who wear seat belts in Region A is lessthan the proportion of drivers who wear seat belts in Region B? Assume that the samples are random and independent.Complete parts (a) through (e) below.(a) Identify the claim and state Ho and Ha.Identify the claim. Let population 1 be drivers from Region A and let population 2 be drivers from Region B. Choose thecorrect answer below.O A. The claim is that the proportions of drivers who wear seat belts in both regions add up to 1.O B. The claim is that the proportion of drivers who wear seat belts in Region A is less than theproportion of drivers who wear seat belts in Region B.O C. The claim is that the proportions of drivers who wear seat belts in both regions are equal.O D. The claim is that the proportion of drivers who wear seat belts in Region A is greater than theproportion of drivers who wear seat belts in Region B.State Ho and Ha. Choose the correct answer below.O A. Ho: P1 = P2Ha: P1 #P2OC. Ho: P1 2 P2Hai P1 P2Ha: P1 2P2Hg: P1 SP2Ha: P1 > P2(b) Find the critical value(s) and identify the rejection region(s). Select the correct choice below and fill in the answer boxesto complete your choice.O A. There is one critical value, zo =and one rejection region, z>(Round to two decimal places as needed.)O B. There are two critical values, zo, and two rejection regions,and z>(Use a comma to separate answers as needed. Round to two decimal places as needed.)O C. There is one critical value, zo =, and one rejection region, z<(Round to two decimal places as needed.)(c) Find the standardized test statistic, z.(Round to two decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis.Ho-in the rejection region(s), (2)Since z (1)enough evidence at the a=0.01 level of significance to support the claim that the proportion ofthe proportion of drivers who wear seat belts in Region B.(e) Interpret the decision in the context of the original claim.There (3)drivers who wear seat belts in Region A is (4)

Hi! Thank you for the question, As per the honour code, we are allowed to answer three sub-parts at a time so we are answering the first three as you have not mentioned which of these you are looking for. Please re-submit the question separately for the remaining sub-parts. Given information : Region A X1 = 859n1 = 1000 P1^ = X1n1 = 8591000 = 0.859 Region B X2 = 904n2 = 1000 P2^ = X2n2 = 9041000 = 0.904 Pooled proportion = P = X1 + X2n1 + n2 = 859 + 9041000 + 1000= 17632000= 0.8815 a) To identify the claim and state H0 and Ha Null hypothesis : H0 : P1 ≥ P2 Alternative hypothesis : Ha: P1 < P2 It is left tailed test. Option D is correct i.e The claim is that the proportion of drivers who wear seat belts in Region A is greater than the proportion of drivers of drivers who wear seat belts in region B. b) To find the critical value and identify the rejection region. significance level = α = 0.01 critical value = -2.33 rejection region = z0 < -2.33 Option c is correct. c) To calculate standardised test statistics Z = P1^ - P2^P 1 - p 1n1 + 1n2 = 0.859 - 0.9040.8815 1-0.881511000+11000= -0.0450.8815 0.118521000= -0.0450.0144= -3.12

Math

Statistics

7. In a survey of 1000 drivers from Region A. 859 wear a seat belt. In a survey of 1000 drivers from Region B, 904 wear a seat belt. At a = 0.01, is there evidence to support the claim that the proportion of drivers who wear seat belts in Region A is less than the proportion of drivers who wear seat belts in Region B? Assume that the samples are random and independent. Complete parts (a) through (e) below. (a) Identify the claim and state Ho and Ha. population 2 be drivers from Region B. Choose the Identify the claim. Let population 1 be drivers from Region A and correct answer below. O A. The claim is that the proportions of drivers who wear seat belts in both regions add up to 1. O B. The claim is that the proportion of drivers who wear seat belts in Region A is less than the proportion of drivers who wear seat belts in Region B. O C. The claim is that the proportions of drivers who wear seat belts in both regions are equal. D. The claim is that the proportion of drivers who wear seat belts in Region A is greater than the proportion of drivers who wear seat belts in Region B. State Ho and H. Choose the correct answer below. O A. Ho: P1 =P2 Ha: P1 + P2 O C. Ho: P1 2 P2 O B. Ho: P1 * P2 Ha: P1 = P2 H3: P1 P2 O E. Ho: P1 > P2 Ha: P1 2P2 Ha: P1 SP2 (b) Find the critical value(s) and identify the rejection region(s). Select the correct choice below and fill in the answer boxes to complete your choice. O A. There is one critical value, zo = and one rejection region, z> (Round to two decimal places as needed.) O B. There are two critical values, zo = , and two rejection regions, and z> (Use a comma to separate answers as needed. Round to two decimal places as needed.) OC. There is one critical value, zo = ,and one rejection region, z< (Round to two decimal places as needed.) (c) Find the standardized test statistic, z. Z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Ho- in the rejection region(s), (2) Since z (1) enough evidence at the a=0.01 level of significance to support the claim that the proportion of the proportion of drivers who wear seat belts in Region B. (e) Interpret the decision in the context of the original claim. There (3) drivers who wear seat belts in Region A is (4)