The following data represent a sample of people's smoking habits and their usage of seat belts while in a car. A researcher wants to determine whether smoking habits and seat belt usage are related. Test the researcher's claim at the a 0.05 level of significance. No Seat Belt Seat Belt Smoke 67 448 Do not Smoke 327 2,187 *Source: Harris Poll a. Determine the null and alternative hypotheses. O Ho: Smoking habits and seat belt usage have the same distribution. Ha: Smoking habits and seat belt usage follow a different distribution. O Ho: Smoking habits and seat belt usage are independent. Ha: Smoking habits and seat belt usage are dependent. b. Determine the test Statistic. Round to two decimal places. x² - c. Determine the p-value. Round to four decimal places. p-value = d. Make a decision. O Reject the null hypothesis. O Fail to reject the null hypothesis. e. Make a conclusion. O There is not sufficient evidence to support the claim that smoking habits and seat belt usage are related. O There is sufficient evidence to support the claim that smoking habits and seat belt usage are related.

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The following data represent a sample of people's smoking habits and their usage of seat belts while in a
car. A researcher wants to determine whether smoking habits and seat belt usage are related. Test the
researcher's claim at the a = 0.05 level of significance.
No Seat Belt
Seat Belt
Smoke
67
448
Do not Smoke
327
2,187
*Source: Harris Poll
a. Determine the null and alternative hypotheses.
O Ho: Smoking habits and seat belt usage have the same distribution.
Ha: Smoking habits and seat belt usage follow a different distribution.
O Ho: Smoking habits and seat belt usage are independent.
Ha: Smoking habits and seat belt usage are dependent.
b. Determine the test Statistic. Round to two decimal places.
c. Determine the p-value. Round to four decimal places.
p-value =
d. Make a decision.
Reject the null hypothesis.
O Fail to reject the null hypothesis.
e. Make a conclusion.
O There is not sufficient evidence to support the claim that smoking habits and seat belt usage
are related.
O There is sufficient evidence to support the claim that smoking habits and seat belt usage are
related.
Transcribed Image Text:The following data represent a sample of people's smoking habits and their usage of seat belts while in a car. A researcher wants to determine whether smoking habits and seat belt usage are related. Test the researcher's claim at the a = 0.05 level of significance. No Seat Belt Seat Belt Smoke 67 448 Do not Smoke 327 2,187 *Source: Harris Poll a. Determine the null and alternative hypotheses. O Ho: Smoking habits and seat belt usage have the same distribution. Ha: Smoking habits and seat belt usage follow a different distribution. O Ho: Smoking habits and seat belt usage are independent. Ha: Smoking habits and seat belt usage are dependent. b. Determine the test Statistic. Round to two decimal places. c. Determine the p-value. Round to four decimal places. p-value = d. Make a decision. Reject the null hypothesis. O Fail to reject the null hypothesis. e. Make a conclusion. O There is not sufficient evidence to support the claim that smoking habits and seat belt usage are related. O There is sufficient evidence to support the claim that smoking habits and seat belt usage are related.
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