Recently, a large academic medical center determined that 10 of 22 employees in a particular position were male​, whereas 51​% of the employees for this position in the general workforce were male. At the 0.01 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? 1) What are the correct hypotheses to test to determine if the proportion is​ different? 2) Calculate the test statistic 3) What is the p-value State the conclusion of the test.

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 10 of 22 employees in a particular position were male​, whereas 51​% of the employees for this position in the general workforce were male. At the 0.01 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?

1) What are the correct hypotheses to test to determine if the proportion is​ different?
2) Calculate the test statistic
3) What is the p-value
State the conclusion of the test.
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