c. Compute the test value. d. Make a decision on the null hypothesis. e. Make a decision on the claim of the researcher.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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3. The percentage of physicians who are women is 28%. In a survey of physicians
employed by a large university health system, 43 of 142 randomly selected physicians
were women. Is there sufficient evidence at the 0.05 level of significance to conclude
that the proportion of women physicians at the university health system exceeds 28%?
a. State the hypothesis and identify the claim of the researcher.
Ho: p = 0.28 and H₁: p > 0.28 (claim)
b. Find the critical value(s).
Since a = 0.05 and the test is a right-tailed test, the critical value is z = 1.6449
c. Compute the test value.
d. Make a decision on the null hypothesis.
e. Make a decision on the claim of the researcher.
Transcribed Image Text:3. The percentage of physicians who are women is 28%. In a survey of physicians employed by a large university health system, 43 of 142 randomly selected physicians were women. Is there sufficient evidence at the 0.05 level of significance to conclude that the proportion of women physicians at the university health system exceeds 28%? a. State the hypothesis and identify the claim of the researcher. Ho: p = 0.28 and H₁: p > 0.28 (claim) b. Find the critical value(s). Since a = 0.05 and the test is a right-tailed test, the critical value is z = 1.6449 c. Compute the test value. d. Make a decision on the null hypothesis. e. Make a decision on the claim of the researcher.
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