Question

A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2969 occupants not wearing seat belts, 32 were killed. Among 7784 occupants wearing seat belts, 20 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.

a. What are the null and alternative hypotheses for the hypothesis test?

b. Test the claim by constructing an appropriate confidence interval.

c. What do the results suggest about the effectiveness of seat belts?

Answer #1

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A simple random sample of front-seat occupants involved in car
crashes is obtained. Among 2997 occupants not wearing seat belts,
32 were killed. Among 7649 occupants wearing seat belts, 10 were
killed. Use a 0.05 significance level to test the claim that seat
belts are effective in reducing fatalities.
- Identify the test statistic?
- Identify the p value?
- Test the claim by constructing an appropriate
confidence level?
- What is the conclusion base on the hypothesis
test?
-...

A simple random sample of front-seat occupants involved in car
crashes is obtained. Among 2997 occupants not wearing seat belts,
29 were killed. Among 7657 occupants wearing seat belts, 13 were
killed. Use a 0.050 significance level to test the claim that seat
belts are effective in reducing fatalities.
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...

9. A simple random sample of front-seat occupants involved in
car crashes was obtained. Among 7,000 occupants not wearing seat
belts, 18
were killed. Among 7765 occupants wearing seat belts, 16 were
killed. Use a 0.05 significance level to test the claim that seat
belts are effective
in reducing fatalities using the critical value
approach.

1. A simple random sample of front seat occupants involved in
car crashes is obtained. Among 2823 occupants not wearing seat
belts, 31 were killed. Among 7765 occupants wearing seat belts, 16
were killed. Does the data provide evidence to conclude that seat
belts are effective in avoiding fatalities. Perform a hypothesis
test at the 5% significance level.

A simple random sample of front-seat occupants involved in car
crashes is obtained. Among 2833 occupants not wearing seat belts,
31 were killed. Among 7765 occupants wearing seat belts, 15 were
killed.
(a) Construct a 95% confidence interval for the difference of
fatality rate between those who wear seat belts and those who
don’t.
(b) Based on the confidence interval in (a), can we conclude
that seat belts are effective in reducing fatalities? Why?

A simple random sample of front-seat occupants involved in car
crashes is obtained. Among 2500 occupants not wearing seat belts,
15 were killed. Among 7500occupants wearing seat belts, 15 were
killed. Use this data with 0.05 significance level to test the
claim that the fatality rate is higher for those not wearing seat
belts. (Write all necessary steps like Hypotheses, Test Statistic,
P-value & Conclusion)
Given that.

A simple random sample of front-seat occupants involved in car
crashes is obtained. Among 2500 occupants not wearing seat belts,
15 were killed. Among 7500 occupants wearing seat belts, 15 were
killed. Use this data with 0.05 significance level to test the
claim that the fatality rate is higher for those not wearing seat
belts. (Write all necessary steps like Hypotheses, Test Statistic,
P-value & Conclusion) Given that P(z<3.17)=0.9992.

A simple random sample of front-seat occupants involved in car
crashes is obtained. Among 2500 occupants not wearing seat belts,
15 were killed. Among 7500 occupants wearing seat belts, 15 were
killed. Use this data with 0.05 significance level to test the
claim that the fatality rate is higher for those not wearing seat
belts. (Write all necessary steps like Hypotheses, Test Statistic,
P-value & Conclusion)
Given that
Pz<3.17=0.9992 .

1. A simple random sample of front seat occupants involved in
car accidents is obtained. Among 3,281 occupants who do not wear
seat belts, 60 were killed. Among 9285 occupants with seat belts,
120 were killed. Do the data provide evidence to conclude that seat
belts are effective in preventing deaths? Perform a hypothesis test
at the 5% significance level.

1) A study was conducted to determine the proportion of people
who dream in black and white instead of color. Among 323 people
over the age of 55, 66 dream in black and white, and among
281people under the age of 25,15 dream in black and white. Use a
0.05 significance level to test the claim that the proportion of
people over 55 who dream in black and white is greater than the
proportion for those under 25. Complete parts...

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