Hypertension is defined as a blood pressure reading over 140 mm Hg systolic and/or over 90 mm Hg diastolic. Hypertension, if not corrected, can cause long-term health problems. In the college-age population (18-24 years), about 9.2% have hypertension. Suppose that a blood donor program is taking place in a college dormitory this week (midterm week). Before each student gives blood, the nurse takes a blood pressure reading. Of 196 donors, it is found that 29 have hypertension.
(a) What are parameter and statistic in this problem?
(b) Do these data indicate that the population proportion of students with hypertension during midterm week is higher than 9.2%? Use p-value method at 5% level of significance.
(c) Derive a 95% confidence interval for the population proportion of students with hypertension during midterm week.