Question

use the sample data and confidence level given below to complete parts (a) through (d).
a drug is used to help prevent blood clots in certain patients. in clinical trials, among 4628 patients treated with the drug, 153 developed the adverse reaction of nausea. construct a 95% confidence interval for the proportion of adverse reactions.
.028 < p < 0.038
(round to three decimal places as needed.)
d) write a statement that correctly interprets the confidence interval. choose the correct answer below.
○ a. there is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound.
○ b. one has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.
○ c. 95% of sample proportions will fall between the lower bound and the upper bound.
○ d. one has 95% confidence that the sample proportion is equal to the population proportion

Explanation:

A confidence interval is not about the probability of the population proportion falling within the interval (A is wrong as it implies a probability for the population proportion). It's also not about sample proportions (C is wrong). And a confidence interval doesn't claim the sample proportion equals the population proportion (D is wrong). The correct interpretation is that we have a certain level of confidence (here 95%) that the interval contains the true population proportion.

Answer:

B. One has 95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.