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
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
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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Transcribed Image Text: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 P2
O D. 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 P2
H₁: P₁
P₂
the significance level of a = 0.05, so
O E. 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) <0.
(Round to three decimal places as needed.)
C
the null hypothesis. There
OC. Ho: P1 P2
H₁: P₁ P2
OF. Ho: P₁ = P2
H₁: P₁ P2
sufficient evidence to support the claim that the fatality rate is higher for those not
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