Question

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

Use the given data to find the sample size required to estimate the population proportion. Margin of error: 0.012; confidence level: 98%; p and q unknown

Homework Answers

Answer #1

Solution :

Given that,

= 0.5

1 - = 0.5

margin of error = E = 0.012

At 98% confidence level the z is ,

= 1 - 98% = 1 - 0.98 = 0.02

/ 2 = 0.02 / 2 = 0.01

Z/2 = Z0.01 = 2.326

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

= (2.326 / 0.012)2 * 0.5*0.5

= 9392.84

sample size = 9393

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