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A political candidate has asked you to conduct a poll to determine what percentage of people...


A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate on
A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 4% margin of error at a 95% confidence level, what size of sample is needed? Hint: Textbook Video [+]
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Answer:-

Given that:-

\widehat{p}=1-\widehat{p}=0.5

margin of error = E = 4% = 0.04

At 95% confidence level the Z is,

\alpha =1-95\%

\alpha =1-0.95=0.05

\alpha/2 =0.025

Z_{\alpha/2} =Z_{0.025}=1.960

sample size = n = (Z_{\alpha/2}/E)^{2}*\widehat{p}*(1-\widehat{p})

= (1.960/0.04)^{2}*0.5*0.5

=600.25

Sample size = n = 600

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