A research group conducted an extensive survey of 2928 wage and salaried workers

Question

A research group conducted an extensive survey of 2928 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?" 1461 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.)

A) lower limit =

B) upper limit =

Explanation / Answer

The sample proportion is p^=1461/2928=0.49

The 90% confidence interval for p is:

p^+/-z(0.90)*root over p(1-p)/n

=0.49+/-1.645*root over 0.49(1-0.49)/2928

=0.49+/-0.015

=(0.475,0.505)

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