Chapter 9.4, Problem 23E

Choosing a doctor: Which do patients value more when choosing a doctor: interpersonal skills or technical ability? In a recent study, 304 people were asked to choose a physician based on two hypothetical descriptions. One physician was described as having high technical skills and average interpersonal skills, and the other was described as having average technical skills and high interpersonal skills. The physician with high interpersonal skills was chosen by 116 of the people. Can you conclude that less than half of patients prefer a physician with high interpersonal skills? Use the $\alpha =0.01$ level of significance.