Assignment: (16 points total) 1) Current trends in politics show that nationally 26% of voters self-identify as Republican, 41% as Independent, and 31% as Democrat. Suppose a random sample of 597 Maryland residents of voting age found that 134 self- Identify as Republican, 245 as Independent and 218 as Democrat. Is there evidence to suggest that voters in Maryland do not follow the national political trend for party affiliation? Use a significance level of a = 0.05. (8 points) a) What is the expected number of Maryland voters identifying with each party if the national proportions for party affiliation hold true for Maryland? Do not round your answers. b) Write the hypotheses for this Chi-Squared Goodness-of-Fit test. c) Use the y? GOF-Test command in your calculator to run this hypothesis test. Write the command and the values you entered and then report the test statistic and p-value. d) Write a full conclusion for this test in the context of the problem. 2) Recall this problem from previous homework assignments in which we talked about independence: A random group of 200 students classified themselves in terms of personality (introvert or extrovert) and color choice (red, yellow, green or blue) with the purpose of seeing whether there is a relationship between personality and color preference. The following table summarizes the findings. (8 pts) Color Preference Red Yellow Green Blue Personality Introvert 10 6 12 22 Type Extrovert 90 28 18 a) Write the hypotheses for the Chi-Squared Test for Independence. b ) Use the x?-Test command in your calculator to run this hypothesis test. Write the command and the values you entered and then report the test statistic and p-value. Use a significance level of a - 0.05. C) When you ran the test, you should have entered the table above as Matrix [A]. After running the test, you can find the table of expected values by going to MATRIX, choosing [B], and hitting ENTER twice. Write the table of expected values rounded to one decimal place. d) Write a full conclusion for this test in the context of the