A CEO claims that men and women working for his company have equal opportunities to earn bonuses. A lawyer working on a lawsuit filed by a female employee claims that men have greater bonus opportunities than women working at the company. Test this claim at the α = 0.05 level of significance. Let p M represent the proportion of men working for the company that have received a bonus in the past year and p W represent the proportion of women working for the company that have received a bonus in the past year. Select the correct hypotheses for this test: H 0 : p M ≠ p W , H a : p M > p W H 0 : p M = p W , H a : p M < p W H 0 : p M = p W , H a : p M ≠ p W H 0 : p M = p W , H a : p M > p W In a random sample of 171 men, 147 had received a bonus in the past year. In a random sample of 232 women, 182 had received a bonus in the past year. Find the test statistic (round to 4 decimal places): Find the p-value (round to 4 decimal places): Select the correct decision: Reject the Null Hypothesis Do not Reject the Null Hypothesis Write the conclusion:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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A CEO claims that men and women working for his company have equal opportunities to earn bonuses. A lawyer working on a lawsuit filed by a female employee claims that men have greater bonus opportunities than women working at the company. Test this claim at the α = 0.05 level of significance. Let p M represent the proportion of men working for the company that have received a bonus in the past year and p W represent the proportion of women working for the company that have received a bonus in the past year. Select the correct hypotheses for this test: H 0 : p M ≠ p W , H a : p M > p W H 0 : p M = p W , H a : p M < p W H 0 : p M = p W , H a : p M ≠ p W H 0 : p M = p W , H a : p M > p W In a random sample of 171 men, 147 had received a bonus in the past year. In a random sample of 232 women, 182 had received a bonus in the past year. Find the test statistic (round to 4 decimal places): Find the p-value (round to 4 decimal places): Select the correct decision: Reject the Null Hypothesis Do not Reject the Null Hypothesis Write the conclusion:

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Swokowski
Publisher:
Cengage