Question

# Use the given data to find the minimum sample size required to estimate the population proportion....

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

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 = Z0.01 = 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

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