A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2741 occupants not wearing seat belts, 29 were killed. Among 7694 occupants wearing seat belts, 11 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. 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 H:P1 > P2 O B. Ho: P1 = P2 H:P, #P2 OC. Ho: P, 2p2 H,:P, # P2 O E. Ho: P1 * P2 H: P = P2 OF. Ho: P1 = P2 O D. Ho: P1 SP2 H,: P, # P2 H:P1
A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2741 occupants not wearing seat belts, 29 were killed. Among 7694 occupants wearing seat belts, 11 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. 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 H:P1 > P2 O B. Ho: P1 = P2 H:P, #P2 OC. Ho: P, 2p2 H,:P, # P2 O E. Ho: P1 * P2 H: P = P2 OF. Ho: P1 = P2 O D. Ho: P1 SP2 H,: P, # P2 H:P1
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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Question
A simple random sample of front-seat occupants involved in car crashes is obtained. Among
2741
occupants not wearing seat belts,
29
were killed. Among
7694
occupants wearing seat belts,
11
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?
H0:
p1=p2
H1:
p1>p2
H0:
p1=p2
H1:
p1≠p2
H0:
p1≥p2
H1:
p1≠p2
H0:
p1≤p2
H1:
p1≠p2
H0:
p1≠p2
H1:
p1=p2
H0:
p1=p2
H1:
p1<p2
Identify the test statistic.
z=enter your response here
(Round to two decimal places as needed.)
Identify the P-value.
P-value=enter your response here
(Round to three decimal places as needed.)
What is the conclusion based on the hypothesis test?
The P-value is
the significance level of
the null hypothesis. There
sufficient evidence to support the claim that the fatality rate is higher for those not wearing seat belts.
▼
less than
greater than
α=0.05,
so
▼
reject
fail to reject
▼
is not
is
b. Test the claim by constructing an appropriate confidence interval.
The appropriate confidence interval is
enter your response here<p1−p2<enter your response here.
(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.
▼
do not include
include
▼
not equal.
equal.
▼
positive and negative
only negative
only positive
▼
the same
lower
higher
c. What do the results suggest about the effectiveness of seat belts?
The results suggest that the use of seat belts is associated with the same fatality rates as not using seat belts.
The results suggest that the use of seat belts is associated with lower fatality rates than not using seat belts.
The results suggest that the use of seat belts is associated with higher fatality rates than not using seat belts.
The results are inconclusive.
Transcribed Image Text:A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2741 occupants not wearing seat belts, 29 were killed. Among 7694 occupants wearing seat belts, 11 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.
.....
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
C. Ho: P1 2 P2
H1: P1 # P2
B. Ho: P1 = P2
H1:P1> P2
H1:P1 # P2
O D. Ho: P1 S P2
H4:P1 # P2
O E. Ho: P1 # P2
H1:P1 =P2
O F. Ho: P1 = P2
H1: P1 <P2
Identify the test statistic.
Z =
(Round to two decimal places as needed.)
Identify
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
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) <L:
(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?
O A. The results suggest that the use of seat belts is associated with the same fatality rates as not using seat belts.
B. The results suggest that the use of seat belts is associated with lower fatality rates than not using seat belts.
C. The results suggest that the use of seat belts is associated with higher fatality rates than not using seat belts.
D. The results are inconclusive.
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