Recently, a large academic medical center determined that 8 of 19 employees in a particular position were male, whereas 54% of the employees for this position in the general workforce were male. At the 0.05 level of significance, is there evidence that the proportion of males in this position at this medical center is different from what would be expected in the general workforce? What are the correct hypotheses to test to determine if the proportion is different? O A. Hg: zs0.54; H;: a> 0.54 O B. Họ: x20.54; H,: a<0.54 OC. Họ; x+0.54; H;: x= 0.54 OD. Hg x= 0.54; H;: x #0.54 Calculate the test statistic. ZSTAT = (Type an integer or a decimal. Round to two decimal places as needed.) What is the p-value? The p-value is (Type an integer or a decimal. Round to three decimal places as needed.) State the conclusion of the test. V the null hypothesis. There is V evidence to conclude that the proportion of males in this position at this medical center is different from the proportion in the general workforce.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Recently, a large academic medical center determined that 8 of 19 employees in a particular position were male, whereas 54% of the employees for this position in the general workforce were male. At the 0.05 level of significance, is there evidence that the
proportion of males in this position at this medical center is different from what would be expected in the general workforce?
What are the correct hypotheses to test to determine if the proportion is different?
O A. Ho: Ts0.54; H1: n> 0.54
Ο Β. H : π > 0.54, Η1. π < 0.54
ОС. Но: п20.54;B Н: л%3D0.54
O D. Ho: T= 0.54; H,: n#0.54
Calculate the test statistic.
ZSTAT = (Type an integer or a decimal. Round to two decimal places as needed.)
What is the p-value?
The p-value is
(Type an integer or a decimal. Round to three decimal places as needed.)
State the conclusion of the test.
the null hypothesis. There is
evidence to conclude that the proportion of males in this position at this medical center is different from the proportion in the general workforce.
Transcribed Image Text:Recently, a large academic medical center determined that 8 of 19 employees in a particular position were male, whereas 54% of the employees for this position in the general workforce were male. At the 0.05 level of significance, is there evidence that the proportion of males in this position at this medical center is different from what would be expected in the general workforce? What are the correct hypotheses to test to determine if the proportion is different? O A. Ho: Ts0.54; H1: n> 0.54 Ο Β. H : π > 0.54, Η1. π < 0.54 ОС. Но: п20.54;B Н: л%3D0.54 O D. Ho: T= 0.54; H,: n#0.54 Calculate the test statistic. ZSTAT = (Type an integer or a decimal. Round to two decimal places as needed.) What is the p-value? The p-value is (Type an integer or a decimal. Round to three decimal places as needed.) State the conclusion of the test. the null hypothesis. There is evidence to conclude that the proportion of males in this position at this medical center is different from the proportion in the general workforce.
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