# Problem Set I.docx - Problem Set I Question 1 A newspaper...

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Problem Set I Question 1A newspaper provided a"snapshot" illustrating poll results from 1910 professionals who interview job applicants. The illustration showed that26% of them said the biggest interview turnoff is that the applicantdid not make an effort to learn about the job or the company. The margin of error was given as ±percentage points. What important feature of the poll wasomitted?Choose the correct answer. 3 A. The confidence intervalB. The confidence levelC. The point estimateD. The sample size Question 2A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Amongthe 500 respondents, 12% chose chocolate pie, and the margin of error was given as ±3percentage points. Describe what is meant by the statement that "the margin of error was given as ±percentagepoints."Choose the correct answer below. 3 Question 3A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. Among the 1500 respondents,14% chose chocolatepie,and the margin of error was given as percentage points. What values do ^p, ^q, n, Eand prepresent?If the confidence levelis 95%, what is the value of α ± 3 ? ^ p Part B – If the confidence level is 95%, what is the value of α(Typean integer or a decimal. Do notround.) ?
Question 4A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Amongthe 500 respondents, 14% chose chocolate pie, and the margin of error was given as ±5percentage points. Given specific sample data, which confidence interval is wider: the 90% confidence interval or the 80% confidence interval? Why is it wider?Choose the correct answer below. A.A 90% confidence interval must be wider than an 80% confidence interval because it contains 90% ofthe true population parameters, while the 80% confidence interval only contains 80% of the true population parameters.B.An 80% confidence interval must be wider than a 90% confidence interval because it contains 100%80%=20%of the true population parameters, while the 90% confidence interval only contains 100%90%=10%of the true population parameters.C.A 90%confidence interval must be wider than an80%confidence interval in order to be more confident that it captures the true value of the population proportion.