4. The CEO of a large company wants to test the claim that more than 20% of the company's employees are willing to take a pay cut to work less hours in order to have more time for pers and leisure activities. She selects a random sample of 500 employees and 80 of them said they willing to take a pay cut to work less hours. A. At a = 0.10, is there enough evidence to support the claim? B. If the CEO wants to repeat the study to estimate the true proportion of employees who would accept a pay cut to work less to within 2% and with 95% confidence, how many employees sh noloot?

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4. The CEO of a large company wants to test the claim that more than 20% of the company's
employees are willing to take a pay cut to work less hours in order to have more time for personal
and leisure activities. She selects a random sample of 500 employees and 80 of them said they are
willing to take a pay cut to work less hours.
A. At a = 0.10, is there enough evidence to support the claim?
B. If the CEO wants to repeat the study to estimate the true proportion of employees who would
accept a pay cut to work less to within 2% and with 95% confidence, how many employees should
she randomly select?
Transcribed Image Text:4. The CEO of a large company wants to test the claim that more than 20% of the company's employees are willing to take a pay cut to work less hours in order to have more time for personal and leisure activities. She selects a random sample of 500 employees and 80 of them said they are willing to take a pay cut to work less hours. A. At a = 0.10, is there enough evidence to support the claim? B. If the CEO wants to repeat the study to estimate the true proportion of employees who would accept a pay cut to work less to within 2% and with 95% confidence, how many employees should she randomly select?
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