A survey of 475 women revealed that 46% wear flat shoes to work. a. Use this sample information to develop a 95% confidence interval for the population proportion of women who wear flat shoes to work. b. Suppose that the people who administered this survey now wish to estimate the proportion of women who wear athletic shoes to work with a margin of error of 0.01 with 99% confidence. Determine the sample size required. a. 0.415

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A survey of 475 women revealed that 46% wear flat shoes to work.
a. Use this sample information to develop a 95% confidence interval for the population proportion of women who wear
flat shoes to work.
b. Suppose that the people who administered this survey now wish to estimate the proportion of women who wear
athletic shoes to work with a margin of error of 0.01 with 99% confidence. Determine the sample size required.
a. 0.415 <p< 0.505
(Round to three decimal places as needed.)
b. n=
| (Round up to the nearest whole number.)
Transcribed Image Text:A survey of 475 women revealed that 46% wear flat shoes to work. a. Use this sample information to develop a 95% confidence interval for the population proportion of women who wear flat shoes to work. b. Suppose that the people who administered this survey now wish to estimate the proportion of women who wear athletic shoes to work with a margin of error of 0.01 with 99% confidence. Determine the sample size required. a. 0.415 <p< 0.505 (Round to three decimal places as needed.) b. n= | (Round up to the nearest whole number.)
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