Assume the population proportion is to be estimated from the sample described. Find the approximate margin of error and the 95% confidence interval for the population proportion. Sample size=289, Sample proportion=0.28 (Round four decimal places)

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The Formula for the Margin of Error.

E = z_{α/2}/(2√ n) where E is the error we require, we need to standardize the data

alpha is 0.05.we divide by 2 to get 1.96/(2*289*0.5)=0.05765 about 5.76% error

confidence interval

-0.022<0.28<0.3376

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