A research group conducted an extensive survey of 3186 wage and salaried workers

Question

A research group conducted an extensive survey of 3186 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, "What does success mean to you?" 1580 responded, "Personal satisfaction from doing a good job." Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question. Find a 90% confidence interval for p. (Round your answers to three decimal places.)

Explanation / Answer

Ans:

sample proportion=1580/3186=0.496

z value for 90% confidence interval is 1.96

90% confidence interval for p

=0.496+/-1.645*sqrt(0.496*(1-0.496)/3186)

=0.496+/-0.015

=(0.481, 0.511)

lower limit=0.481

upper limit=0.511

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