A study found that women of normal weight missed an average of 3.4 days of work due to illness during the preceding year, compared to an average of 5.2 days for women who were considered overweight.
Assuming (1) a sample size of 30 for each group and (2) sample standard deviations of 2.5 and 3.6 days, respectively, use a z-test and the 0.05 level of significance in examining whether the mean number of absence days for the overweight group could have been this much higher simply by chance.
Determine and interpret the p-value for the test.