# Question

In a random sample of 678 adult males 20 to 34 years of age, it was determined that 58 of them have hypertension (high blood pressure).

(a) Obtain a point estimate for the proportion of adult males 20 to 34 years of age who have hypertension.

(b) Construct a 95% conﬁdence interval for the proportion of adult males 20 to 34 years of age who have hypertension. Interpret the conﬁdence interval.

(c) You wish to conduct your own study to determine the proportion of adult males 20 to 34 years old who have hypertension. What sample size would be needed for the estimate to be within 3 percentage points with 95% conﬁdence if you use the point estimate obtained in part (a)?

(d) You wish to conduct your own study to determine the proportion of adult males 20 to 34 years old who have hypertension. What sample size would be needed for the estimate to be within 3 percentage points with 95% conﬁdence if you don’t have a prior estimate?

(a) Obtain a point estimate for the proportion of adult males 20 to 34 years of age who have hypertension.

(b) Construct a 95% conﬁdence interval for the proportion of adult males 20 to 34 years of age who have hypertension. Interpret the conﬁdence interval.

(c) You wish to conduct your own study to determine the proportion of adult males 20 to 34 years old who have hypertension. What sample size would be needed for the estimate to be within 3 percentage points with 95% conﬁdence if you use the point estimate obtained in part (a)?

(d) You wish to conduct your own study to determine the proportion of adult males 20 to 34 years old who have hypertension. What sample size would be needed for the estimate to be within 3 percentage points with 95% conﬁdence if you don’t have a prior estimate?

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