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Confidence Intervals for Population Proportion

8. Sampling Distributions & Confidence Intervals: Proportion / Confidence Intervals for Population Proportion / Problem 2

Problem 2

A new antihistamine, Histarol, is known to cause dry mouth. In clinical trials, $200$ subjects received Histarol, and $50$ reported dry mouth. In a separate placebo group of $60$ subjects, $6$ reported dry mouth. Construct a $95 percent sign$ confidence interval for the true proportion $p$ of placebo‐treated subjects who experience dry mouth.

A

$0.85 percent sign is less than p is less than 9.77 percent sign$

B

$2.4 percent sign is less than p is less than 17.6 percent sign$

C

$8.71 percent sign is less than p is less than 14.7 percent sign$

D

$13.5 percent sign is less than p is less than 22.8 percent sign$