Part A (5 pts)

Awidelybelieved statisticisthattheaverageAmericanfamilyhas2.5 children.TesttoseeifCongressisrepresentativeoftheaverageAmericanfamilyinthisrespectbyconductingatwo-tailedtestofthishypothesis at the=.05 level.In addition to interpreting the results of the hypothesis test, make sure toinclude in your answer a formal statement of the null hypothesis and the alternative hypothesis,and thecorresponding confidence interval for your estimate of the population mean.How exactly do you interpretthe confidence interval?

Part B (5 pts)

Mr.Republican states that Republicans tend to have more family values than Democrats and thus havemore children on average.Test this hypothesis using a two-tailed test at the=.05 level (e.g.H0is:"doRepublicans and Democrats have the same number of children?").Include in your answer a formal statementof the null hypothesis and the alternative hypothesis

Part C (5 pts)

Regress a representative's AAUW score (aauw) on his or her number of female children (ngirls) and reportyour results (including standard errors andp-values) in a nicely formatted table.What is the relationshipbetweenthenumberoffemalechildrenandarepresentative'sAAUWscore?Interpretthecoefficientbydiscussing the statistical and practical/substantive significance.

Part D (5 pts)Regress a representative'saauwscore on his or her number of female children and his or her total numberof children (totchi), and report your results (including standard errors and p-values) in a nicely formattedtable.Compare your results from this model to those in Part C and provide a substantive interpretation forthe coefficient on the number of female children.

Part E (5 pts)Assuming the random sampling, linearity, normality, and homoscedasticity assumptions are met, discuss theplausibility of using this model to make causal claims about the effect of the number of daughters.In otherwords, do you think it is likely or unlikely that there is omitted variable bias (e.g.does the model satisfythe zero conditional mean assumption)?Please be specific.If you believe a causal claim is plausible, discusswhat assumptions you have to make.If you believe a causal claim is not plausible, explain why.