Out of 72,000 (N) households, 244 (n) were surveyed. Of those surveyed, 64 reported that they had received unemployment benefits. a) Would this require using the Finite Population Correction Factor?...

Please round it to 4 decimal places and add the excel formulas as well.

Extracted text: Out of 72,000 (N) households, 244 (n) were surveyed. Of those surveyed, 64 reported that they had received unemployment benefits. a) Would this require using the Finite Population Correction Factor? Explain why or why not? b) Regardless of your answer above, calculate the FPCF. c) Calculate a Confidence interval for the proportion of unemployment beneficiaries at the 10% significance level using the FPCF. d) Calculate a Confidence interval for the proportion of unemployment beneficiaries at the 2% significance level using the FPCF.