A nationally representative survey of American adults, respondents were asked if they knew which party controlled the U.S. Senate. Out of the large sample of 6,454 respondents, 3,680 correctly said Democrats had a majority in the U.S. House of Representatives.

(a) Construct a 95% confidence interval for the proportion of the American adult population that knew which party controlled the House.

(b) Out of 2488 Democrats in the sample, 1064 correctly identified the party that controls the House. Out of 1530 Republicans in the sample, 585 correctly identified the party that controls the House. Conduct a hypothesis test at the .05 significance level to assess whether the proportions of Democrats and Republicans knowing the correct answer to this question are the same. Be sure to clearly specify your null and alternative hypotheses, show the steps of your calculation and explain briefly what your result tells you about partisans' knowledge on this question.