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. 

a. Do the data indicate a significant relationship between living longer and being happy most of the time? Test with α = .05.

b. Compute the phi-coefficient to measure the size of the treatment effect.

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Happy Most of the Time Unhappy Most of the Time Lived 382 194 576 Died 18 6 24 400 200