1 answer

(24 total points) In a study conducted by the Pew Research Center for the 2016 election,...

Question:

(24 total points) In a study conducted by the Pew Research Center for the 2016 election, 1068 out of 3956 people (27%) with at least a college degree identified themselves as Republican while 1235 out of 4117 people (30%) without a college degree (ie. some college or less) identified themselves as Republican. Is there a difference in whether people identify themselves as Republican between college graduates and non-college graduates? (a) (2 points) Identify the explanatory and response variables (b) (2 points) Fill in the two-way contingency table College Degree No College Degree Total Republican on-Republican Total (c) (10 points) Conduct a formal hypothesis test using a 0.05. That means (1) write the hypotheses, (2) calculate the test statistic, (3) state your decision by comparing the test statistic to the appropriate critical value, and (4) give a conclusion. (d) (1 point) Obtain the p-value for the test statistic. You can use the Two Proportion Test code posted on Canvas to obtain the p-value (e) (2 points) Use Fishers Exact Test in RStudio to get the p-value. Explain if the p- value from Fishers Exact Test is similar to the p-value obtained above (f) (3 points) Calculate a 95% confidence interval. (g) (4 points) Interpret the 95% confidence interval.

(24 total points) In a study conducted by the Pew Research Center for the 2016 election, 1068 out of 3956 people (27%) with at least a college degree identified themselves as Republican while 1235 out of 4117 people (30%) without a college degree (ie. some college or less) identified themselves as Republican. Is there a difference in whether people identify themselves as Republican between college graduates and non-college graduates? (a) (2 points) Identify the explanatory and response variables (b) (2 points) Fill in the two-way contingency table College Degree No College Degree Total Republican on-Republican Total (c) (10 points) Conduct a formal hypothesis test using a 0.05. That means (1) write the hypotheses, (2) calculate the test statistic, (3) state your decision by comparing the test statistic to the appropriate critical value, and (4) give a conclusion. (d) (1 point) Obtain the p-value for the test statistic. You can use the Two Proportion Test code posted on Canvas to obtain the p-value (e) (2 points) Use Fisher's Exact Test in RStudio to get the p-value. Explain if the p- value from Fisher's Exact Test is similar to the p-value obtained above (f) (3 points) Calculate a 95% confidence interval. (g) (4 points) Interpret the 95% confidence interval.

Answers


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