A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2774 occupants not wearing seat belts, 29 were killed. Among 7811 occupants wearing seat belts, 10were killed. Use a 0.05 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?OA. Ho: P₁ = P2H₁: P₁ P2O D. Ho: P₁ P2H₁: P₁ = P2Identify the test statistic.z=(Round to two decimal places as needed.)Identify the P-value.P-value=(Round to three decimal places as needed.)What is the conclusion based on the hypothesis test?OB. Ho: P₁ P2H₁: P₁P₂the significance level of a = 0.05, soO E. Ho: P₁ SP2H₁: P₁ P2The P-value iswearing seat belts.b. Test the claim by constructing an appropriate confidence interval.The appropriate confidence interval is < (P₁-P₂) <0.(Round to three decimal places as needed.)Cthe null hypothesis. ThereOC. Ho: P1 P2H₁: P₁ P2OF. Ho: P₁ = P2H₁: P₁ P2sufficient evidence to support the claim that the fatality rate is higher for those not

From the information, given thatLet the p1 denotes the population proportion of occupants not…

A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2774 occupants not wearing seat belts, 29 were killed. Among 7811 occupants wearing seat belts, 10 were killed. Use a 0.05 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 alternative hypotheses for the hypothesis test? OA. Ho: P₁ P2 H₁: P₁ > P₂2 OD. Ho: P₁ #P2 H₁: P₁ P2 Identify the test statistic. Z= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? OB. Ho: P₁ 2P2 H₁: P₁ P2 the significance level of a = 0.05, so OE. Ho: P₁ SP₂ H₁: P₁ P2 The P-value is 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.) the null hypothesis. There OC. Ho: P₁ H₁: P₁ OF. Ho: P₁ P2 P2 P2 H₁: P₁ P₂ sufficient evidence to support the claim that the fatality rate is higher for those not

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 30PPS