Question

During a blood-donor program conducted during finals week for college students, a blood-pressure reading is taken first, revealing that out of 300 donors, 44 have hypertension. All answers to three places after the decimal.

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? .

Answer 1

The probability, at 60% confidence, that a given college donor will have hypertension during finals week is 0.147, with a margin of error of 0.017.

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 .133 and 0.160.

We are 99% confident that the true proportion of college students with hypertension during finals week is 0.147 , with a margin of error of 0.053.

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 0.079 and 0.214.

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?

9604

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?

8460