Confidence Intervals & Hypothesis Testing In this assignment you will use sample

Question

Confidence Intervals & Hypothesis Testing In this assignment you will use sample statistics to infer characteristics about populations. First, you will estimate a population parameter using a sample statistic and determine the level of precision of your estimate using a confidence interval. Next, you will develop hypotheses about a population parameter and use information acquired from a sample to conduct a test of significance to determine whether certain claims are valid. You will complete all questions by hand (i.e., no computer necessary). Your

Explanation / Answer

(1)

n = 270    

p = 0.1185    

% = 98    

Standard Error, SE = {p(1 - p)/n} =    (0.1185(1 - 0.1185))/270 = 0.019669279

z- score = 2.326347874    

Width of the confidence interval = z * SE =     2.32634787404085 * 0.0196692794874534 = 0.04575759

Lower Limit of the confidence interval = P - width =     0.1185 - 0.0457575865195525 = 0.07274241

Upper Limit of the confidence interval = P + width =     0.1185 + 0.0457575865195525 = 0.16425759

The 98% confidence interval is [0.073, 0.164]

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