The local association of restaurants believes that the population proportion of households that eat out at least once a week might go down, after everything opens up again. It is planning another survey. In the pre- pandemic survey, the sample proportion of households that eat out at least once a week was 0.140. Use the past results and suppose that the next survey must have a margin of error of 0.050 in a 95% confidence interval for the population proportion. What is the smallest sample size that will get this margin of error?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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The local association of restaurants believes that the population proportion of households that eat out at least
once a week might go down, after everything opens up again. It is planning another survey. In the pre-
pandemic survey, the sample proportion of households that eat out at least once a week was 0.140. Use the
past results and suppose that the next survey must have a margin of error of 0.050 in a 95% confidence
interval for the population proportion. What is the smallest sample size that will get this margin of error?
Transcribed Image Text:The local association of restaurants believes that the population proportion of households that eat out at least once a week might go down, after everything opens up again. It is planning another survey. In the pre- pandemic survey, the sample proportion of households that eat out at least once a week was 0.140. Use the past results and suppose that the next survey must have a margin of error of 0.050 in a 95% confidence interval for the population proportion. What is the smallest sample size that will get this margin of error?
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