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Clarence wants to estimate the percentage of students who live more than three miles from the...

Clarence wants to estimate the percentage of students who live more than three miles from the school. He wants to create a 98% confidence interval which has an error bound of at most 4%. How many students should be polled to create the confidence interval?

z0.10 z0.05 z0.025 z0.01 z0.005

1.282 1.645 1.960 2.326 2.576

Use the table of values above. Provide your answer below:

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Answer #1

As here value of p is not given we will use p=0.5

Further for 98% CI z value is 2.326 as P(-2.326<z<2.326)=0.98

Also given that E=0.04

So we will find n using formula of E

So

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