2. You notice at the gym that it appears more women tend to work out together, w

Question

2. You notice at the gym that it appears more women tend to work out together, whereas more men tend to work out alone. To determine whether this difference is significant, you collect data on the workout preferences for a sample of men and women at your gym. The data follows.
Males Females
Together 5 8
Alone 7 6

a. What statistical test should be used to analyze the data?
b. Identify H0 and Ha for this study
c. Conduct the appropriate analysis.
d. Should H0 be rejected? What should the researcher conclude?

Explanation / Answer

You will find that 0.166667 0.142857 So, total chi square (test statistic): 0.619048 The critical value at alpha = 0.05 is 3.841 The test statistic is lower than that. We do not reject the null. The variables are independent. We should not think that women work out together and men alone. Therefore, there is no evidence.

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