A marketing firm is conducting a survey to estimate the proportion of people in a certain area who use social media at least once a day. The firm plans to use a sample of 500 people, and they want to estimate the population proportion with a margin of error of no more than 3% and a 95% confidence level.

a) What is the minimum sample size required to achieve the desired margin of error and confidence level?
b) If the firm selects a sample of 500 people, what is the margin of error and the 95% confidence interval for the estimated population proportion?
c) Suppose the firm conducted the survey and found that 300 people in the sample use social media at least once a day. What is the estimated population proportion with a 95% confidence level?

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The detailed answer for the above question is provided below a Minimum sample size The margin of error E can be calculated as E z sqrtp 1 p n where z ... View the full answer