The distribution of diastolic blood pressures for the population of female diabetics between the ages of 30 and 34 has an unknown mean and standard deviation of 10 mm Hg. It may be useful to physicians to know whether the mean of this population is equal to the mean diastolic blood pressure of the general population of females in this age group, 74.4 mm Hg. A sample of 100 diabetic women is selected; their mean diastolic blood pressure is 86 mm Hg. a) What is the null hypothesis? b) Pick a pre-specified significance, justify that choice, and state what the critical value is. c) Calculate the z-test statistic. d) What is the p-value from this comparison? e) What conclusion do you make from these results?