A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2949 occupants not wearing seat belts, 28 were killed. Among 7899 occupants wearing seatbelts, 20 were killed. 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 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 alternativehypotheses for the hypothesis test?O A. Ho: P1 = P2H1: P1 > P2O B. Ho: P1 2 P2H: P1 #P2OC. Ho: P1 #P2H1: P1 = P2OF. Ho: P1 = P2O D. Ho: P1 = P2H1: P1 # P2O E. Ho: P1 SP2H1: P1 # P2H1: P1 What is the conclusion based on the hypothesis test?V the significance level of a = 0.01, soV the null hypothesis. ThereV sufficient evidence to support the claim that the fatality rate is higher forThe P-value isthose not wearing seat belts.b. Test the claim by constructing an appropriate confidence interval.The appropriate confidence interval is < (P1 - P2) <(Round to three decimal places as needed.)What is the conclusion based on the confidence interval?Because the confidence interval limitsV0, it appears that the two fatality rates areBecause the confidence interval limits includevalues, it appears that the fatality rate isfor those not wearing seat belts.c. What do the results suggest about the effectiveness of seat belts?O A. The results suggest that the use of seat belts is associated with higher fatality rates than not using seat belts.O B. The results suggest that the use of seat belts is associated with lower fatality rates than not using seat belts.O C. The results suggest that the use of seat belts is associated with the same fatality rates as not using seat belts.O D. The results are inconclusive.

Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case you require the unanswered parts also, kindly re-post that parts separately. a. Given claim: seat belts are effective in reducing fatalities. Null Hypothesis: H0:p1=p2 Alternative Hypothesis: H1:p1>p2 Correct option: Ab. Test statistic: x1=28 n1=2949 x2=20 n2=7899 p1^=x1n1=282949=0.009p2^=x2n2=207899=0.003p=x1+x2n1+n2=4810848=0.004 Therefore, z=p1^-p2^p1-p1n1+1n2 =0.009-0.0030.0041-0.00412949+17899 =4.40P value: P=P(z>test statistic) =1-Pz≤4.40 =0.0000, from the excel function, =1-NORM.DIST(4.4,0,1,TRUE)