Pregunta
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
Ask by Wright Bowers. in the United States
Feb 27,2025
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(a)
- **Null Hypothesis (H₀):** The proportion of women physicians is equal to 27.9% (p = 0.279).
- **Alternative Hypothesis (H₁):** The proportion of women physicians exceeds 27.9% (p > 0.279).
This is a **right-tailed (one-tailed)** hypothesis test.
Solución
(a) The null hypothesis (H₀) is that the true proportion of women physicians at the university health system is equal to 27.9%, and the alternative hypothesis (H₁) is that the true proportion exceeds 27.9%. Since we are testing if the proportion is greater than 27.9%, this is a right‐tailed (one-tailed) test.
So, filling in the blanks:
H₀: p = 0.279 (Choose one: equal to)
H₁: p > 0.279 (Choose one: greater than)
This hypothesis test is a right‐tailed (one-tailed) test.
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Simplifique esta solución 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.
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