simple random sample of front-seat occupants Involved in car drashes =0.05 significance level to test the claim that seat belts are effective in reducing fatalities. Complete parts (a) through (c) below. blained mong 2907 OCcup 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 altemative hypotheses for the Typothesis test? OC. Ha: Pi 2 P2 H: p Pa OB. Ho: Pi Sp2 OA. Ho: Pi =P2 H: Pi P2 OE. Ho: Pi =P2 H: P, P2 OF H P #P2 H: P =P2 Identify the test statistic. z- 7.15 (Round to two decimal places as needed.) dentify the P-value. P-value = 0 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is greater than the significance level of a=0.05, so fail to reject the null hypothesis. There is not sufficient evidence to support the claim that the fatality rate is higher for those not wearing belts. b. Test the claim by constructing an appropriate confidence interval. The appropriate confidence interval is O< (P: -P2)

College Algebra (MindTap Course List)
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Chapter8: Sequences, Series, And Probability
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Problem 58E: What is meant by the sample space of an experiment?
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Need help with the fill in the blank questions (from the p-value is...., question b) and question c) 

Asimple random sample of front-seat occupants involved in car crashes is obtained. Among 2907 occupants not wearing seat belts, 39 were killed. Among 7772 occupants wearing seat belts, 17 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 altemative hypotheses for the
hypothesis test?
O B. Ho Pi SP2
H: P P2
OC. Ho Pi 2 P2
H: P, #P2
O A. Hg: P1 =P2
H1: Pi <Pz
O E. Ho P1= P2
H P, P2
OF H P. Pz
H: P =P2
D. Hg: P1 =P2
H1: P > Pz
Identify the test statistic.
z= 7.15
(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 greater than the significance level of a=0.05, so fail to reject the null hypothesis. There is not 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 < (P -Pz) <U
(Round to three decimal places as needed.)
What is the conclusion based on the confidence interval?
Because the confidence interval limits
include
0, it appears that the two fatality rates are not equal. Because the confidence interval limits include
only negative
values, it appears that the
fatality rate is
higher
for 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.
B. The results suggest that the use of seat belts is associated with the same fatality rates as not using seat belts.
C. The results suggest that the use of seat belts is associated with lower fatality rates than not using seat belts.
D. The results are inconclusive.
Transcribed Image Text:Asimple random sample of front-seat occupants involved in car crashes is obtained. Among 2907 occupants not wearing seat belts, 39 were killed. Among 7772 occupants wearing seat belts, 17 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 altemative hypotheses for the hypothesis test? O B. Ho Pi SP2 H: P P2 OC. Ho Pi 2 P2 H: P, #P2 O A. Hg: P1 =P2 H1: Pi <Pz O E. Ho P1= P2 H P, P2 OF H P. Pz H: P =P2 D. Hg: P1 =P2 H1: P > Pz Identify the test statistic. z= 7.15 (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 greater than the significance level of a=0.05, so fail to reject the null hypothesis. There is not 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 < (P -Pz) <U (Round to three decimal places as needed.) What is the conclusion based on the confidence interval? Because the confidence interval limits include 0, it appears that the two fatality rates are not equal. Because the confidence interval limits include only negative values, it appears that the fatality rate is higher for 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. B. The results suggest that the use of seat belts is associated with the same fatality rates as not using seat belts. C. The results suggest that the use of seat belts is associated with lower fatality rates than not using seat belts. D. The results are inconclusive.
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