The National Study of the Changing Work Force conducted a study of 2958 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interview with a nationally representive sample. In response to the questions “What does your job mean to you?” 1538 people responded that they “Receive personal satisfaction from success at work.” Let p be the population proportion of people who receive personal satisfaction from success at work. (a) Find a 95% CI for the true value of p. (b) How large of sample is needed if we wish to be 99% confident that the sample proportion of p is within 1% of the true population proportion.
The National Study of the Changing Work Force conducted a study of 2958 wage and salaried workers on issues
ranging from relationships with their bosses to household chores. The data were gathered through hour-long
telephone interview with a nationally representive sample. In response to the questions “What does your job mean
to you?” 1538 people responded that they “Receive personal satisfaction from success at work.” Let p be the
population proportion of people who receive personal satisfaction from success at work.
(a) Find a 95% CI for the true value of p.
(b) How large of sample is needed if we wish to be 99% confident that the sample proportion of p is within
1% of the true population proportion.
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