Classwork #13 9.1 1. If election, where would you start? you wanted to estimate

Question

Classwork #13 9.1 1. If election, where would you start? you wanted to estimate the population proportions p that will vote for candidate A this 2. Suppose you sampled 300 people and got 138 that would vote Candidate A. This is your "p hat". Calculate p .This is your point estimate. 30 138 3. Now we need to +/-the margin of error. This is based on your confidence % and the standard p(1-p) deviation of all possible 'phats' ?p-./- Calculate the standard deviation here. 4. The last part is to pick a confidence %. The typical confidence %-95%. The middle 95% corresponds to Z+ 1.96, which means we will add/subtract 1.96 standard deviations to our point estimate. We calculate the margin of error by multiplying (1.96)(St. Dev). Do that here. At this point we should have the estimate-p and the margin of error- (answer to 8). Write out your estimate as: (point estimate)+/-(margin of error) 5.

Explanation / Answer

2.

Point estimate P_hat = 138/300

3.

standard deviation for given P_hat = square root(P_hat * (1 - P_hat) / n)

= square root(138*162/(300*300*300))

= 0.02877

4.  

Margin of error = 1.96*(standard deviation)

= 1.96 * 0.02877

= 0.0564

5. Estimate P_hat = 0.46

margin of error = 0.0564

so our estimate for population proportion with 95%confidence is in the interval from 0.4036 to 0.5164.

  

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