In the past, 26% of all homes with a stay-at-home parent, the father is the stay-at-home parent. An independent research firm has been charged with conducting a sample survey to obtain more current information. (a) What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.04? Use a 95% confidence level. (Round your answer up to the nearest whole number.) (b) Repeat part (a) using a 99% confidence level. (Round your answer up to the nearest whole number.)

A First Course in Probability (10th Edition)
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In the past, 26% of all homes with a stay-at-home parent, the father is the stay-at-home parent. An independent research firm has been charged with conducting a sample survey to obtain more current information.
(a) What sample size
your answer up to the nearest whole number.)
needed if the research firm's goal is to estimate the current proportion
homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.04? Use a 95% confidence level. (Round
(b) Repeat part (a) using a 99% confidence level. (Round your answer up to the nearest whole number.)
Transcribed Image Text:In the past, 26% of all homes with a stay-at-home parent, the father is the stay-at-home parent. An independent research firm has been charged with conducting a sample survey to obtain more current information. (a) What sample size your answer up to the nearest whole number.) needed if the research firm's goal is to estimate the current proportion homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.04? Use a 95% confidence level. (Round (b) Repeat part (a) using a 99% confidence level. (Round your answer up to the nearest whole number.)
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