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A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 8% margin of error at a 99% confidence level, what size of sample is needed

Sagot :

The required sample size is equal to 273.

We have given that,

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

We have to determine the If the candidate only wants an 8% margin of error at a 99% confidence level,

p=0.5 (default since no value is given)

q=1-0.5=0.5

margin of error=5%=0.05

z_c=1.65 at 90% confidence.

What is the formula for marginal error?

The margin of error:

[tex]e= sqrt(p(1-p)/n)*z_c[/tex]

Use the given value in the above formula we get,

0.05=sqrt(0.5*0.5/n)*1.65

n= (0.5*1.65/0.05)^2=272.25

Therefore, The required sample size is equal to 273.

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