Among college-age students (18-24 years old), 9.2% have hypertension. During a blood-donor program conducted during finals week, a blood-pressure reading is taken first, revealing that out of 200 donors, 29 have hypertension. All answers to three places after the decimal.
A 95% confidence interval for the true proportion of college students with hypertension during finals week is ( , ).
We can be 80% confident that the true proportion of college students with hypertension during finals week is with a margin of error of .
Unless our sample (of 200 donors) is among the most unusual 10% of samples, the true proportion of college students with hypertension during finals week is between and .
The probability, at 60% confidence, that a given college donor will have hypertension during finals week is , with a margin of error of .
Assuming our sample of donors is among the most typical half of such samples, the true proportion of college students with hypertension during finals week is between and .
We are 99% confident that the true proportion of college students with hypertension during finals week is , with a margin of error of .
Assuming our sample of donors is among the most typical 99.9% of such samples, the true proportion of college students with hypertension during finals week is between and .
Covering the worst-case scenario, how many donors must we examine in order to be 95% confident that we have the margin of error as small as 0.01?
Using a prior estimate of 15% of college-age students having hypertension, how many donors must we examine in order to be 99% confident that we have the margin of error as small as 0.01?