Employees of a building materials chain facing a shutdown were surveyed on a prospective employee ownership plan. Some employees pledged $10,000 to this plan, putting up $800 immediately, while others indicated that they did not intend to pledge. Of a random sample of 175 people who had pledged, 78 had already been laid off, whereas 208 of a random sample of 604 people who had not pledged had already been laid off. Test, at the 5% level against a two-sided alternative, the null hypothesis that the population proportions already laid off were the same for people who pledged as for those who did not.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Employees of a building materials chain facing a shutdown were surveyed on a prospective employee ownership plan. Some employees pledged $10,000 to this plan, putting up $800 immediately, while others indicated that they did not intend to pledge. Of a random sample of 175 people who had pledged, 78 had already been laid off, whereas 208 of a random sample of 604 people who had not pledged had already been laid off. Test, at the 5% level against a two-sided alternative, the null hypothesis that the population proportions already laid off were the same for people who pledged as for those who did not.

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