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 α=0.05 level of significance. No Seat Belt Seat Belt Smoke 67 448 Do not Smoke 327 2,187 *Source: Harris Poll Determine the null and alternative hypotheses. H0:Smoking habits and seat belt usage are independent. Ha: Smoking habits and seat belt usage are dependent. H0: Smoking habits and seat belt usage have the same distribution. Ha: Smoking habits and seat belt usage follow a different distribution. Determine the test Statistic. Round to two decimal places. χ2 = Determine the pp-value. Round to four decimal places. p-value =
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 α=0.05 level of significance. No Seat Belt Seat Belt Smoke 67 448 Do not Smoke 327 2,187 *Source: Harris Poll Determine the null and alternative hypotheses. H0:Smoking habits and seat belt usage are independent. Ha: Smoking habits and seat belt usage are dependent. H0: Smoking habits and seat belt usage have the same distribution. Ha: Smoking habits and seat belt usage follow a different distribution. Determine the test Statistic. Round to two decimal places. χ2 = Determine the pp-value. Round to four decimal places. p-value =
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Question
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 α=0.05 level of significance.
No Seat Belt | Seat Belt | |
Smoke | 67 | 448 |
Do not Smoke | 327 | 2,187 |
*Source: Harris Poll
- Determine the null and alternative hypotheses.
- H0:Smoking habits and seat belt usage are independent.
Ha: Smoking habits and seat belt usage are dependent. - H0: Smoking habits and seat belt usage have the same distribution.
Ha: Smoking habits and seat belt usage follow a different distribution.
- H0:Smoking habits and seat belt usage are independent.
- Determine the test Statistic. Round to two decimal places.
χ2 = - Determine the pp-value. Round to four decimal places.
p-value = - Make a decision.
- Reject the null hypothesis.
- Fail to reject the null hypothesis.
- Make a conclusion.
- There is not sufficient evidence to support the claim that smoking habits and seat belt usage are related.
- There is sufficient evidence to support the claim that smoking habits and seat belt usage are related.
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