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1. [-I10 Points] DETAILS 0/2 Submissions Used MY NOTES PRACTICE ANOTHER A polling firm randomly surveys 230 registered voters across the United States. Two of
1. [-I10 Points] DETAILS 0/2 Submissions Used MY NOTES PRACTICE ANOTHER A polling firm randomly surveys 230 registered voters across the United States. Two of the survey questions ask respondents to state their gender (male or female) and their political affiliation (democrat, republican, independent, or other). The results of this survey are shown in the table below. Democrat Republican Independent Other Totals Female 66 43 22 5 136 Male 33 23 32 6 94 Totals 99 66 54 11 230 (a) Suppose we would like to perform a chi-square test to see if gender and affiliation are associated. Use a = 0.1. What are the degrees of freedom for this test? (b) Find the (standardized) residual for the female with Independent as their political affiliation. (Round your answers to three decimal places.) (c) The standardized residual shows that there were --- v females than expected in the Independent category. (d) Given p-value is 0.008, what is the statistical decision? Reject H0 and conclude that gender and political affiliation are independent. O Reject H0 and conclude that gender and political affiliation are associated. Q Do not reject Ho and conclude that gender and political affiliation are associated. Q Do not reject H0 and conclude that gender and political affiliation are independent. 2. [-/11 Points] 0/2 Submissions Used PRACTICE ANOTHER Does a person's educational level affect his or her decision about marrying? A survey asked a random sample of 1397 U.S. adults about their education level and marital status. The results are summarized below. Education and Marital Status Education Level Marital Status Less HS HS College Total Single/Widowed 6 115 256 377 Married 18 256 442 716 Divorced 13 136 155 304 Total 37 507 853 1397 (a) The cell with the highest observed count contains a value of 442. What is the expected count for this cell? :] (3 decimal places) (b) State the alternative hypothesis for this test. 0 Education level and marital status are independent. 0 Education level and marital status are associated. (c) The test statistic for this data has a value of 22.189. Use the Chi-Square calculator to find the P-value. P-value = (3 decimal places) (cl) At alpha = 0.05, would you reject the null hypothesis? 0 Yes ONo (e) Is education level associated with marital status? 0 At the 5% signicance level, the data gives evidence to indicate that education level is associated with marital status. 0 At the 5% signicance level, the data does not give significant evidence to indicate that education level is associated with marital status
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