Answered: A simple random sample of front-seat…

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 6E: List the sample space of each experiment. Tossing three coins

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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,

were killed. Among

7694

occupants wearing seat belts,

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

▼

less than

greater than

the significance level of

α=0.05,

▼

reject

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

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

▼

do not include

include

0, it appears that the two fatality rates are

▼

not equal.

equal.

Because the confidence interval limits include

▼

positive and negative

only negative

only positive

values, it appears that the fatality rate is

▼

the same

lower

higher

for those not wearing seat belts.

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.

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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