Liu et al. (2015) recently reported the results of a study examining whether happy people live longer. The study followed a large sample of British women, aged 50 to 69, over a 10-year period. At the beginning of the study, the women were asked several questions including how often they felt happy. After 10 years, roughly 4% of the women had died. The following table shows a frequency distribution similar to the results obtained in the study. Lived Died Within 10 Years Total Happy Most of the Time 382 18 400 Unhappy Most of the Time 194 6 200 Total 576 24 n = 600 Do the data indicate a significant relationship between living longer and being happy most of the time? Test with α = .05. (Round your answers to two decimal places for χ²-critical and χ².) χ²-critical = χ² = Conclusion: Fail to reject the null hypothesis. There is a relationship between living longer and being happy most of the time. Reject the null hypothesis. There is no relationship between living longer and being happy most of the time. Reject the null hypothesis. There is a relationship between living longer and being happy most of the time. Fail to reject the null hypothesis. There is no relationship between living longer and being happy most of the time. Compute the phi-coefficient to measure the size of the treatment effect (if any). φ =

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Liu et al. (2015) recently reported the results of a study examining whether happy people live longer. The study followed a large sample of British women, aged 50 to 69, over a 10-year period. At the beginning of the study, the women were asked several questions including how often they felt happy. After 10 years, roughly 4% of the women had died. The following table shows a frequency distribution similar to the results obtained in the study. Lived Died Within 10 Years Total Happy Most of the Time 382 18 400 Unhappy Most of the Time 194 6 200 Total 576 24 n = 600 Do the data indicate a significant relationship between living longer and being happy most of the time? Test with α = .05. (Round your answers to two decimal places for χ²-critical and χ².) χ²-critical = χ² = Conclusion: Fail to reject the null hypothesis. There is a relationship between living longer and being happy most of the time. Reject the null hypothesis. There is no relationship between living longer and being happy most of the time. Reject the null hypothesis. There is a relationship between living longer and being happy most of the time. Fail to reject the null hypothesis. There is no relationship between living longer and being happy most of the time. Compute the phi-coefficient to measure the size of the treatment effect (if any). φ =

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