Researchers followed a random sample of 2315 middle-aged men from eastern Finland for up to 30 years. They recorded how often each man went to a sauna and whether or not he suffered sudden cardiac death (SCD). The two-way table shows the data from the study.

a. State appropriate hypotheses for performing a chi-square test for independence in this setting.

b. Compute the expected counts assuming that H₀ is true.

c. Calculate the chi-square test statistic, df, and P-value.

d. What conclusion would you draw?

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Weekly sauna frequency 1 or fewer 2-3 4 or more Total Yes 61 119 10 190 SCD No 540 1394 191 2125 Total 601 1513 201 2315