In a study conducted by Zogby International for the Democrat and Chronicle, more than 700 New Yorkers were polled to determine whether the New York state government works. Respondents surveyed were asked questions involving pay cuts for state legislators, restrictions on lobbyists, terms limits for legislators, and whether state citizens should be able to put matters directly on the state ballot for a vote. The results regarding several proposed reforms had broad support, crossing all demographic and political lines. Suppose that a follow-up survey of 100 individuals who live in the western region of New York was conducted. The party affiliation (Democrat, Independent, Republican) of each individual surveyed was recorded, as well as their responses to the following three questions. A. Should legislative pay be cut for every day the state budget is late? Yes or No B. Should there be more restrictions on lobbyists? Yes or No C. Should there be term limits requiring that legislators serve a fixed number of Yes or No years? The responses were coded using 1 for a Yes response and 0 for a No response. The complete data #set is available on Canvas in the file named Party Response Data.csv. 1. With regard to Question A, construct a 95% confidence interval to estimate the proportion of Democrats who believe that legislative pay should be cut for every day the state budget is late. Interpret the estimate. 2. With regard to Question B, is the proportion of Republicans who believe that there should be more restrictions on lobbyists higher than that of Democrats who also believe so? To answer this question, you may construct a 95% confidence interval estimate of the difference or perform a hypothesis test of difference with a = 0.05. Interpret your estimate or test result 3.With regard to Question C, test if the proportion of Independents who believe there should be term limits is higher than 10%. 4.Use descriptive statistics to summarize the data from this study. What are your preliminary conclusions about the independence of the response (Yes or No) and party affiliation for each of the three questions in the survey? 5. With regard to Question A, test for the independence of the response (Yes and No) and party affiliation. Use a = 0.05. 6. With regard to Question B, test for the independence of the response (Yes and No) and party affiliation. Use a -0.05. 1 BA 275 Categorical Data Analysis 7. With regard to Question C, test for the independence of the response (Yes and No) and party affiliation. Use a -0.05. 1 1 0 Lobbyists Term_Limits Random 0 0 1 0 1 0 0 1 0 0 1 1 I 8! 5 31 41 61 9 31 1 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 31 g! 1 0 0 0 0 1 1 1 1 1 0 1 0 3i s! OP 81 9 21 8! 41 1! 0 0 1 1 1 0 1 61 71 0 1 0 1 1 1 1 1 1 0 0 1 1 1 0 1 0 0 Observation Party Pay Cut 1 Democrat 2 Democrat 3 Democrat 4 Democrat 5 Democrat 6 Democrat 7 Democrat 8 Democrat 9 Democrat 10 Democrat 11 Democrat 12 Democrat 13 Democrat 14 Democrat 15 Democrat 16 Democrat 17 Democrat 18 Democrat 19 Democrat 20 Democrat 21 Democrat 22 Democrat 23 Democrat 24 Democrat 25 Democrat 26 Democrat 27 Democrat 28 Democrat 29 Democrat 30 Democrat 31 Democrat 32 Democrat 33 Democrat 34 Democrat 35 Democrat 36 Democrat 37 Independent 38 Independent 39 Independen 40 Independen 41 Independen 42 Independent 43 Independent 44 Independen 45 Independen 46 Independen 47 Independent 48 Independent 49 Independent 50 Independent 51 Independen 52 Independen 53 Independent 54 Independen 55 Independen 56 Republican 57 Republican 58 Republican 59 Republican 60 Republican 3i 41 71 51 3 71 o! 3 9! 4 71 8 3i 0 OI 9! 1 0 1 1 1 1 1 1 1 0 1 0 0 0 1 1 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0 0 0 1 0 1 0 0 1 1 1 0 0 1 1 1 0 3 0 1 0 6 61 41 11 3 31 5! 91 8! 3 51 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 0 1 0 0 3 31 s! 21 7! 9 19 0 1 1 0 1 0 1 71 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 0 | 1 1 1 1 1 1 1 1 0 0 1 0 1 1 0 1 1 1 0 1 0 1 0 1 1 1 1 1 0 1 1 1 1 I 1 1 1 0 0 1 1 1 0 1 1 61 Republican 62 Republican 63 Republican 64 Republican 65 Republican 66 Republican 67 Republican 68 Republican 69 Republican 70 Republican 71 Republican 72 Republican 73 Republican 74 Republican 75 Republican 76 Republican 77 Republican 78 Republican 79 Republican 80 Republican 81 Republican 82 Republican 83 Republican 84 Republican 85 Republican 86 Republican 87 Republican 88 Republican 89 Republican 90 Republican 91 Republican 92 Republican 93 Republican 94 Republican 95 Republican 96 Republican 97 Republican 98 Republican 99 Republican 100_Republican 61 4 71 11 21 51 7: 71 0! 5 6! 0i 71 2 31 0! 21 o! 3 2! 6 81 61 71 6 51 9 21 41 8i 41 3 31 9! oj 8 Oi 7! 41 91 | 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 0 1 | 0 0 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 0 1 In a study conducted by Zogby International for the Democrat and Chronicle, more than 700 New Yorkers were polled to determine whether the New York state government works. Respondents surveyed were asked questions involving pay cuts for state legislators, restrictions on lobbyists, terms limits for legislators, and whether state citizens should be able to put matters directly on the state ballot for a vote. The results regarding several proposed reforms had broad support, crossing all demographic and political lines. Suppose that a follow-up survey of 100 individuals who live in the western region of New York was conducted. The party affiliation (Democrat, Independent, Republican) of each individual surveyed was recorded, as well as their responses to the following three questions. A. Should legislative pay be cut for every day the state budget is late? Yes or No B. Should there be more restrictions on lobbyists? Yes or No C. Should there be term limits requiring that legislators serve a fixed number of Yes or No years? The responses were coded using 1 for a Yes response and 0 for a No response. The complete data #set is available on Canvas in the file named Party Response Data.csv. 1. With regard to Question A, construct a 95% confidence interval to estimate the proportion of Democrats who believe that legislative pay should be cut for every day the state budget is late. Interpret the estimate. 2. With regard to Question B, is the proportion of Republicans who believe that there should be more restrictions on lobbyists higher than that of Democrats who also believe so? To answer this question, you may construct a 95% confidence interval estimate of the difference or perform a hypothesis test of difference with a = 0.05. Interpret your estimate or test result 3.With regard to Question C, test if the proportion of Independents who believe there should be term limits is higher than 10%. 4.Use descriptive statistics to summarize the data from this study. What are your preliminary conclusions about the independence of the response (Yes or No) and party affiliation for each of the three questions in the survey? 5. With regard to Question A, test for the independence of the response (Yes and No) and party affiliation. Use a = 0.05. 6. With regard to Question B, test for the independence of the response (Yes and No) and party affiliation. Use a -0.05. 1 BA 275 Categorical Data Analysis 7. With regard to Question C, test for the independence of the response (Yes and No) and party affiliation. Use a -0.05. 1 1 0 Lobbyists Term_Limits Random 0 0 1 0 1 0 0 1 0 0 1 1 I 8! 5 31 41 61 9 31 1 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 31 g! 1 0 0 0 0 1 1 1 1 1 0 1 0 3i s! OP 81 9 21 8! 41 1! 0 0 1 1 1 0 1 61 71 0 1 0 1 1 1 1 1 1 0 0 1 1 1 0 1 0 0 Observation Party Pay Cut 1 Democrat 2 Democrat 3 Democrat 4 Democrat 5 Democrat 6 Democrat 7 Democrat 8 Democrat 9 Democrat 10 Democrat 11 Democrat 12 Democrat 13 Democrat 14 Democrat 15 Democrat 16 Democrat 17 Democrat 18 Democrat 19 Democrat 20 Democrat 21 Democrat 22 Democrat 23 Democrat 24 Democrat 25 Democrat 26 Democrat 27 Democrat 28 Democrat 29 Democrat 30 Democrat 31 Democrat 32 Democrat 33 Democrat 34 Democrat 35 Democrat 36 Democrat 37 Independent 38 Independent 39 Independen 40 Independen 41 Independen 42 Independent 43 Independent 44 Independen 45 Independen 46 Independen 47 Independent 48 Independent 49 Independent 50 Independent 51 Independen 52 Independen 53 Independent 54 Independen 55 Independen 56 Republican 57 Republican 58 Republican 59 Republican 60 Republican 3i 41 71 51 3 71 o! 3 9! 4 71 8 3i 0 OI 9! 1 0 1 1 1 1 1 1 1 0 1 0 0 0 1 1 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0 0 0 1 0 1 0 0 1 1 1 0 0 1 1 1 0 3 0 1 0 6 61 41 11 3 31 5! 91 8! 3 51 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 0 1 0 0 3 31 s! 21 7! 9 19 0 1 1 0 1 0 1 71 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 0 | 1 1 1 1 1 1 1 1 0 0 1 0 1 1 0 1 1 1 0 1 0 1 0 1 1 1 1 1 0 1 1 1 1 I 1 1 1 0 0 1 1 1 0 1 1 61 Republican 62 Republican 63 Republican 64 Republican 65 Republican 66 Republican 67 Republican 68 Republican 69 Republican 70 Republican 71 Republican 72 Republican 73 Republican 74 Republican 75 Republican 76 Republican 77 Republican 78 Republican 79 Republican 80 Republican 81 Republican 82 Republican 83 Republican 84 Republican 85 Republican 86 Republican 87 Republican 88 Republican 89 Republican 90 Republican 91 Republican 92 Republican 93 Republican 94 Republican 95 Republican 96 Republican 97 Republican 98 Republican 99 Republican 100_Republican 61 4 71 11 21 51 7: 71 0! 5 6! 0i 71 2 31 0! 21 o! 3 2! 6 81 61 71 6 51 9 21 41 8i 41 3 31 9! oj 8 Oi 7! 41 91 | 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 0 1 | 0 0 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 1 | 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 0 1