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? O B. Ho: P1 #P2 H1: P1 = P2 OC. Ho:P1 = P2 H1: P1 P2 O D. Ho: P1 = P2 H1: P1 # P2 O F. Ho: P1 Sp2 H: P, # P2 E. Ho: P1 2 P2 H1: P, # P2 Identify the test statistic. (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? The P-value is V the significance level of a = 0.05, so V the null hypothesis. There V sufficient evidence to support the claim that the fatality rate is higher for those not wearing seat belts. b. Test the claim by constructing an appropriate confidence interval. The appropriate confidence interval is< (P1 - P2)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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the p value is (less then, greater then) the significance of =0.05, so (reject, fail to reject) the null hypothesis. there, (is, is not) sufficient evidence to support the claim that the fatality rate is higher for those not wearing seat belts. 

Because the confidence interval limits, (include, do not include) 0, it appears that the two fatality rates are (equal, not equal) because the confidence interval limits include, (positive and negative, only positive, only negative) values it appears that the fatality rate is (lower, higher, the same) for those not wearing seat belts. 

A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2947 occupants not wearing seat belts, 37 were killed.
Among 7756 occupants wearing seat belts, 15 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?
O A. Ho: P1 = P2
H1:P1 > P2
B. Ho: P1 + P2
H1: P1 = P2
C. Ho: P1 = P2
H1: P1 <P2
O E. Ho: P1 2 P2
O D. Ho: P1 = P2
H1:P1 #P2
O F. Ho: P1 Sp2
H4: P, # P2
H1: P1 # P2
Identify the test statistic.
(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?
The P-value is
the significance level of a = 0.05, so
the null hypothesis. There
sufficient evidence to support the
claim that the fatality rate is higher for those 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 limits
0, it appears that the two fatality rates are
Because the confidence interval limits
include
values, it appears that the fatality rate is
for those not wearing seat belts.
Transcribed Image Text:A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2947 occupants not wearing seat belts, 37 were killed. Among 7756 occupants wearing seat belts, 15 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? O A. Ho: P1 = P2 H1:P1 > P2 B. Ho: P1 + P2 H1: P1 = P2 C. Ho: P1 = P2 H1: P1 <P2 O E. Ho: P1 2 P2 O D. Ho: P1 = P2 H1:P1 #P2 O F. Ho: P1 Sp2 H4: P, # P2 H1: P1 # P2 Identify the test statistic. (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? The P-value is the significance level of a = 0.05, so the null hypothesis. There sufficient evidence to support the claim that the fatality rate is higher for those 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 limits 0, it appears that the two fatality rates are Because the confidence interval limits include values, it appears that the fatality rate is for those not wearing seat belts.
c. What do the results suggest about the effectiveness of seat belts?
A. The results suggest that the use of seat belts is associated with lower fatality rates than not using seat belts.
B. The results suggest that the use of seat belts is associated with higher fatality rates than not using seat belts.
C. The results suggest that the use of seat belts is associated with the same fatality rates as not using seat belts.
D. The results are inconclusive.
Transcribed Image Text:c. What do the results suggest about the effectiveness of seat belts? A. The results suggest that the use of seat belts is associated with lower fatality rates than not using seat belts. B. The results suggest that the use of seat belts is associated with higher fatality rates than not using seat belts. C. The results suggest that the use of seat belts is associated with the same fatality rates as not using seat belts. D. The results are inconclusive.
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