A prior study determined the point estimate of the population proportion as 58% ( = 0.58). The analysts decide to conduct a second study on the same topic and would like its margin of error, E, to be 4% when its confidence level is 95% (z*-score of 1.96).

What is the minimum sample size that should be used so the estimate of will be within the required margin of error of the population proportion?

Minimum Sample size  'n' = 585

Step-by-step explanation:

Explanation:-

Given Estimate of the population proportion as 58% ( = 0.58)

P = 0.58

Given margin of error, E, to be 4%

M.E = 4 % = 0.04

margin of error of the population proportion is determined by

Z- score = 1.96

Cross multiplication , we get

Squaring on both sides, we get

n = 584.7≅585

Conclusion:-

minimum Sample size  'n' = 585

add an image

step-by-step explanation:

36/60

36/2=18

60/2=30

18/30

18/3=6

30/3=10

6/10

6/2=3

10/2=5

your final answer would be 3/5 of an

hope this !