Each of a sample of 250 men drawn from a population of suspected joint disease victims was asked which of three symptoms bother him most. The same question was asked of a sample of 300 suspected women joint disease victims. The results were as follows:

Most Bothersome Symptom Men Women Morning stiffness 111 102 Nocturnal pain 59 73 Joint swelling 80 125 Total 250 300 Do these data provide sufficient evidence to indicate that the two populations are not homogeneous with respect to major symptoms? Let a ¼ .05. What is the p value for this test?

For each of the Exercises 24 through 34, indicate whether a null hypothesis of homogeneity or a null hypothesis of independence is appropriate.