Question

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)?

Answer 1

The proportion of adult males with hypertension, the sample size needed is 1068 using a margin of error of 3 percentage points and 95% confidence.

Step-by-step explanation:

To determine the sample size needed to estimate the proportion of adult males 20 to 34 years old with hypertension within 3 percentage points with 95% confidence, we need to use the formula:

n = (Z^2 * p * (1-p)) / E^2

Where:

n is the required sample size

Z is the Z-score corresponding to the desired confidence level (1.96 for 95% confidence)

p is the estimated population proportion (unknown in this case)

E is the desired margin of error (0.03 or 3 percentage points)

Since we don't have an estimated population proportion, we can use a conservative estimate of 0.5 to get the maximum required sample size. Plugging in these values into the formula, we get:

n = (1.96^2 * 0.5 * (1-0.5)) / 0.03^2 = 1067.11

Therefore, the minimum sample size needed is 1068.