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

All the questions are given in the attachment below. Please finish it as careful as possible. Explain each question how you make it ( including references if needed)

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This is one example:

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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