Question

A research group conducted an extensive survey of 3081 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?" 1486 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.)

lower limit
upper limit

Answer 1

The formula for calculating the confidence interval for the population proportion is given by:

where,

sample proportion,

sample size,

Critical value: For 90% confidence,

Calculation of 90% confidence interval for

So the 90% confidence interval for the true population proportion of workers who responded "Personal satisfaction from doing a good job" is calculated as