PracticeFinalSoln - Practice Final 1 Problem 1 Identifying...

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Practice Final 1 Problem 1 Identifying elements of a study and appropriate statistical inference From January 5 to 7, 2015, Hart Research Associates conducted a national survey on the issue of the federal minimum wage. Interviews were conducted online among a representative national sample of 1,002 adults. Respondents answered the following question: “Do you support raising the federal minimum wage to $15. 00/hour over the next 5 years?” The only options were "Support" and "Do not support". The survey results showed that 63% of those who responded supported this proposal. 1.1 What kind of study is this? a) Cross-sectional survey b) Prospective longitudinal cohort c) Case-control study d) Cross-sectional experiment e) None of the above
1.2 What is the population parameter of interest?
1.3 What is the distribution of the individual- level outcome in the population?
1.4 What is the distribution of the combination of outcomes in the population?
For the next section, use ? for the population parameter, for the sample estimate and ? 0 for the 𝐻 0 value. 1.5 What is the approximate sampling distribution of the sample estimate? (show formula with expected value and standard deviation) ?̂ ~ ? (?, ?(1 − ?) ? ) 1.6 What is the sampling distribution of the estimate under the null hypothesis 𝐻 0 : ? = ? 0 ? (? 0 , ? 0 (1 − ? 0 ) ? ) 1.7 Plug in the values to 1.6 that you would use to test the hypothesis that public opinion is evenly split on raising the federal minimum wage to $15/hr. ? (0.5, 0.5(1 − 0.5) 1002 ) 1.8 What is the estimate of the sampling distribution of for constructing a confidence interval? ? ? (?̂, ?̂(1 − ?̂) ? )
Practice Final 2 1.9 Plug in the values to 1.8 that you would use for the confidence interval for the poll estimate of the fraction who support raising
the federal minimum wage to $15/hr. The poll was reported to have a margin of error of ± 3%. What is the formula they used to calculate this value, and what values would you plug in to obtain a 95% confidence interval? m
1.11 Plug in the values to calculate the margin of error for a 95% Confidence Interval.
Practice Final 3

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