Answer the question about business analytic for decision making (Calculations)

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All the questions are given in the attachment below. Please finish it as careful as possible.

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5.In 16% of all homes with a stay-at-home parent, the father is the stay-at-home parent (Pew Research, June 5, 2014). 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 .03? Use a 95% confidence level.

b. Repeat part (a) using a 99% confidence level.

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