Question

In: Statistics and Probability

In a sample of 500 people, 325 indicated they would vote in the next presidential election....

In a sample of 500 people, 325 indicated they would vote in the next presidential election. construct a 95% confidence interval estimate for the proportion of people who will vote in the next presidential election.

Solutions

Expert Solution

Given that,

In a sample of 500 people, 325 indicated they would vote in the next presidential election. Now we want to construct a 95% confidence interval estimate for the proportion of people who will vote in the next presidential election.

Calculation:-

Sample proportion:-

Calculation of significance level:-

Critical Values:-

[ Value are getting from Z-table ]

Margin of error:-

Now we put the value of , , and we get,

[Round to four decimal places]

95% Confidence Interval:-

Answer:- 95% confidence interval estimate for the proportion of people who will vote in the next presidential election is 0.6082 to 0.6918

orchestra answered 1 year ago

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