A research group conducted an extensive survey of 3181 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?" 1568 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. How large a sample is needed if we wish to be 95% confident that the sample percentage of those equating success with personal satisfaction is within 3.0% of the population percentage? (Hint: Use p z 0.49 as a preliminary estimate. Round your answer up to the nearest whole number.) workers

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A research group conducted an extensive survey of 3181 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?" 1568 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. How large a sample is needed if we
wish to be 95% confident that the sample percentage of those equating success with personal satisfaction is within 3.0% of the population percentage? (Hint: Use p = 0.49 as a
preliminary estimate. Round your answer up to the nearest whole number.)
workers
Transcribed Image Text:A research group conducted an extensive survey of 3181 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?" 1568 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. How large a sample is needed if we wish to be 95% confident that the sample percentage of those equating success with personal satisfaction is within 3.0% of the population percentage? (Hint: Use p = 0.49 as a preliminary estimate. Round your answer up to the nearest whole number.) workers
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