Female Physicians The percentage of physicians who are women is \( 27.9 \% \). In a survey of physicians employed by a large university heath system, 33 of 110 randomly selected physicians were women. Is there sufficient evidence at the 0.10 level of significance to condude that the proportion of momen phypicians at the university health system exceeds \( 27.9 \% \) ? Do not round intermediate steps. Part: \( 0 / 5 \) Part 1 of 5 (a) State the hypotheses and identify the claim. \[ \begin{array}{l} H_{0}=\square \text { (Choose one) } \\ H_{1}=\square \text { (Choose one) } \end{array} \] \( 10 \times 1 \) ITs 묘 This hypothesis test is a \( \square \) (Choose one) test
Upstudy AI Solution
Answer
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Unlock Answered by UpStudy AI and reviewed by a Professional Tutor
Extra Insights
To conduct our hypothesis test, we first need to establish our null and alternative hypotheses based on the given information. 1. The null hypothesis (\(H_{0}\)) states that the proportion of female physicians at the university health system is equal to \(27.9\%\), that is: \[ H_{0}: p \leq 0.279 \] 2. The alternative hypothesis (\(H_{1}\)) claims that the proportion of female physicians exceeds \(27.9\%\), so we have: \[ H_{1}: p > 0.279 \] This hypothesis test is a **one-tailed test**, as we are checking if the proportion is greater than the specified percentage, rather than just looking for differences in either direction.
