Independent 85 255 340 Republican 35 275 310 Total 250 750 1000 a. Construct a 99.7% confidence interval for the proportion of American adults who claim that religion is important to them. Show your work and tell us what your results suggest about the overall population of all American adults. Multiply by 3 instead of 2 b. Use a difference in proportions test to assess whether one can be 95% confident that the proportion of religious Americans who are Democrats differs from the proportion of religious Americans who are Independents. [By religious Americans, I mean those who responded that religion was important to them] Show your work, specify what the null hypothesis is, and say whether or not you can reject the null hypothesis with 95% confidence. c. Perform a chi-square test to assess whether the relationship between religiosity and partisanship is statistically significant. Show your work. Specify what the null hypothesis is, what the chi-square statistic is, and whether or not you can reject the null hypothesis with 95% confidence