Question

Use the given data to find the minimum sample size required to estimate the population proportion. Margin of​ error: 0.008; confidence​ level: 98%; ModifyingAbove p with caret and ModifyingAbove q with caret unknown A. ​22,184 B. ​10,384 C. ​20,308 D. ​21,207

Answer 1

Solution,

Given that,

=  1 - = 0.5

margin of error = E = 0.008

At 98% confidence level

= 1 - 98%

= 1 - 0.98 =0.02

/2 = 0.01

Z_/2 = Z_0.01 = 2.33

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

= (2.33 / 0.008)² * 0.5 * 0.5

= 21206.64

sample size = n = 21,207

correct option is = D