Question

a) Determine the most conservative sample size for the estimation of the population proportion of the following

E= 0.026, confidence level= 95%

Round your answer up to the nearest whole number.

n=_____

b) Determine the sample size for the estimate ? for the following.

E= 1.55, ?= 5.82, confidence level= 96%

Round your answer up to the nearest whole number.

n=_____

Answer 1

Solution :

(a)

Given that,

= 0.5

1 - = 0.5

margin of error = E = 0.026

Z_/2 = 1.96

sample size = n = (Z _{/ 2} / E )² * * (1 - )

= (1.96 / 0.026)² * 0.5 * 0.5

= 1421

sample size = n = 1421

(b)

Population standard deviation = = 5.82

Margin of error = E = 1.55

Z_/2 = 2.054

sample size = n = [Z_/2* / E] ²

n = [2.054 * 5.82 / 1.55]²

n = 60