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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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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