Window Help mathalcom Quiz: quiz 4 (module 11-15) This Quiz: 10 pts possil This

Question

Window Help mathalcom Quiz: quiz 4 (module 11-15) This Quiz: 10 pts possil This Question: 1 pt 2 of 10 (10 Use the sample data and confdenoe level given below to completo parts la) through (d). Areneanch institute pol asked respondents ifthey felt walnerable to identity theft. Inthe poll, n 918 and .525 who said "yes. Usea9% confidence level. Click the icon to view a table of z scores a) Find the best point estimate of the population proportion p toeree decimal places as needed.) byldentify the value ofthe margin of error E. as needed) (Round to four decimal places construct the confidence interval Round to three decimal places as needed.) statement that comectly interprets the confdence interval choose he comect answer below. confidence that the interval from the lower bound to the upper bound actualydoes contain the true value of the population proportion A one has Vi vi B. (au) More Click to select your answers Say you wanted to round the number 838.274, Depending c place value final result wil vary

Explanation / Answer

a) point estimate , p = 525/918 = 0.572

b) Z for 95% confidence interval = Z0.975 = 1.96

E = Z0.975 * sqrt(p * (1 - p) / n)

   = 1.96 * sqrt(0.572 * (1 - 0.572) / 918)

   = 0.0320

c) Confidence interval = (p + E)

                                   = (0.572 + 0.032)

                                   = (0.540 , 0.604)

0.540 < p < 0.604

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