Question

Use the given data to find the minimum sample size required to estimate the population proportion. Margin of error: 0.005; confidence level: 96%; p and q unknown

Answer #1

Solution :

Given that,

= 0.5

1 - = 1 - 0.5 = 0.5

margin of error = E =0.005

At 96% confidence level the z is ,

= 1 - 96% = 1 - 0.96 = 0.04

/ 2 = 0.04 / 2 = 0.02

Z/2 =2.054 ( Using z table )

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

= (2.054/ 0.005)2 * 0.5 * 0.5

= 42189.16

Sample size = 42189

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

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

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Margin of error: 0.028; confidence level: 99%; p and q
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Show All Work
Use the given data to find the minimum sample size required to
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unknown.
b. Recalculate the sample size needed for p ̂=0.27

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