A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2795occupants not wearing seat belts, 36 were killed. Among 7682 occupants wearing seat belts, 15 were killed. Use a. 0.01 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. H0: p1=p2 H1: p1≠p2 B. H0: p1≥p2 H1: p1≠p2 C. H0: p1=p2 H1: p1p2 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? The P-value is ▼ greater than less than the significance level of α=0.01, so ▼ reject fail to reject the null hypothesis. There ▼ is not is sufficient evidence to support the claim that the fatality rate is higher for those not wearing seat belts.
A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2795occupants not wearing seat belts, 36 were killed. Among 7682 occupants wearing seat belts, 15 were killed. Use a. 0.01 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. H0: p1=p2 H1: p1≠p2 B. H0: p1≥p2 H1: p1≠p2 C. H0: p1=p2 H1: p1p2 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? The P-value is ▼ greater than less than the significance level of α=0.01, so ▼ reject fail to reject the null hypothesis. There ▼ is not is sufficient evidence to support the claim that the fatality rate is higher for those not wearing seat belts.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin
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A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2795occupants not wearing seat belts, 36 were killed. Among 7682 occupants wearing seat belts, 15 were killed. Use a. 0.01
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?
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= ?
(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
the null hypothesis. There
sufficient evidence to support the claim that the fatality rate is higher for those not wearing seat belts.
▼
greater than
less than
α=0.01,
so
▼
reject
fail to reject
▼
is not
is
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.
▼
include
do not include
▼
not equal.
equal.
▼
positive and negative
only positive
only negative
▼
higher
lower
the same
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