A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2841occupants not wearing seat belts, 32 were killed. Among 7609 occupants wearing seat belts, 19 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?
A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2841occupants not wearing seat belts, 32 were killed. Among 7609 occupants wearing seat belts, 19 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?
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2841occupants not wearing seat belts, 32 were killed. Among 7609 occupants wearing seat belts, 19 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.
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?
A. Identify the test statistic.
z=_____
(Round to two decimal places as needed.)
B. Identify the p-value.
P= ____.
(Round to three decimal places as needed).
C. What is the conclusion based on the hypothesis test?
P-value greater/less than significance level, so reject/fail to reject null hypothesis. There is/is not sufficient evidence to support claim.
D. Construct appropriate confidence interval.
___ < (p1 - p2) < ___.
E. What is conclusion based on confidence interval?
Because confidence interval limits do not include/do include 0, it appears the two fatality rates are/are not equal. Because confidence level intervals includes only positive/only negative/zero values, the fatality rate is higher/lower for those not wearing seat belts.
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