A pharmaceutical company claims that only 5 percent of patients experience nausea when they take a particular drug. In a research study, n = 100 patients were given this drug and 8 experienced nausea. Assuming that the company's claim is true, what is the probability of 8 or more patients experiencing nausea?
A) About 0.9162
B) About 0.0300
C) About 0.0838
D) About 0.4162

Question

Quizplus · Accepted Answer

This is a binomial probability problem where we are looking for the probability of 8 or more successes (patients experiencing nausea) out of 100 trials (patients), given the probability of success on a single trial is 0.05 (5%). The correct answer is found by calculating 1 minus the cumulative probability of 7 or fewer successes, which yields about 0.0838.

A Pharmaceutical Company Claims That Only 5 Percent of Patients