Assume that all the requirements needed to construct the confidence interval are

Question

Assume that all the requirements needed to construct the confidence interval are met. A) On an exit poll of 1150 randomly selected California voters, 655 of them said that they voted for Jerry Brown. Find 95% confidence interval for the true proportion of all California voters who voted for Jerry Brown. Find the point estimate a. Find the margin of error. Show your work. III) Construct the confidence interval by calculating: Point Estimate plusminus Margin of Error IV) Use complete sentences to interpret the result of the confidence interval.

Explanation / Answer

1) point estimate p=655/1150=0.57

2) for std error =(p(!-p)/n)1/2 =0.0146

for 95% CI; z=1.96

hence margin of error =z*std error =0.0286

3) confidence interval =point estimate -/+ margin of error =0.5409 ; 0.5982

4) above confidence interval gives 95% chance to contain true proportion of population who will vote for Jerry Brown

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