2. Professor Kinon is interested in examining the relationship between gender and political party membership. To investigate this relationship, he collected the data from 362 introductory psychology students. The found frequency counts are presented in the table: (Total = 52 points) Democrat Republican Male 66 36 Female 196 64 362 a. State the null as well as the alternative hypothesis. Be sure to include symbols as well as words. (6 points) Kinon - Exam 4 TABLE F (continued) Degrees of freedom (for the numerator of F ratio) 1 2 3 4 5 6 9 7 8 9 10 11 12 14 16 20 24 30 40 50 75 100 200 500 14 4.60 3.74 3.34 3.11 2.96 2.85 2.77 2.70 2.65 2.60 2.56 2.53 2.48 8.86 6.51 5.56 5.03 4.69 4.46 4.28 4.14 4.03 3.94 3.86 3.80 3.70 2.44 2.39 2.35 3.62 3.51 3.43 2.31 2.27 3.34 3.26 2.24 2.21 2.19 2.16 2.14 2.13 3.21 3.14 3.11 3.06 3.02 3.00 14 15 13 4.54 3.68 3.29 3.06 2.90 2.79 2.70 2.64 2.59 2.55 2.51 2.48 8.68 6.36 5.52 4.89 4.56 4.32 4.14 4.00 3.89 3.80 3.73 3.67 2.39 2.33 2.29 2.43 3.56 3.48 3.36 3.29 2.25 2.21 3.20 3.12 2.18 2.15 2.12 2.10 2.08 2.07 2.92 3.07 3.00 2.97 2.89 2.87 15 16 4.49 3.63 3.24 3.01 2.85 2.74 2.66 2.59 2.54 2.49 2.45 2.42 8.53 6.23 5.29 4.44 4.201 4.77 4.03 3.89 3.78 3.69 3.61 3.55 2.37 2.33 2.28 2.24 3.45 3.37 3.25 3.18 2.20 2.16 2.13 3.10 3.01 2.96 2.09 2.07 2.04 2.02 201 16 2.89 2.86 2.80 2.77 2.75 11 17 4.45 3.59 3.20 2.96 2.81 2.70 2.62 2.55 2.50 2.45 2.41 8.40 6.11 5.18 4.67 4.34 4.10 3.93 3.79 3.68 3.59 3.52 2.38 2.33 2.29 2.23 2.19 3.45 3.35 2.15 2.11 2.08 2.04 2.02 1.99 1.97 1.96 17 3.27 3.16 3.08 3.00 2.92 2.86 2.79 2.76 2.70 2.67 2.65 18 4.41 8.28 19 4.38 3.52 3.13 8.18 5.93 5.01. 3.16 2.93 2.77 3.55 2.66 5.09 6.01 4.25 4.01 4.58 2.55 2.48 2.90 2.74 2.63 4.50 4.17 3.94 3.77 3.71 2.46 2.58 2.51 3.85 2.41 2.37 2.34 2.29 2.25 2.19 2.15 2.11 2.07 2.04 2.00 1.89 1.95 1.93 1.92 18 3.60 3.51 3.44 3.37 3.27 3.19 3.07 3.00 2.91 2.83 2.78 2.71 2.68 2.62 2.59 2.57 2.43 2.38 2.34 2.31 2.26 2.21 2.15 2.11 2.07 2.02 2.00 1.96 1.94 1.91 1.90 1.88 19 3.52 3.43 3.63 3.36 3.30 3.19 3.12 3.00 2.84 2.76 2.92 2.70 2.63 2.60 2.54 2.51 2.49 20 4.35 3.49 3.10 2.87 2.71 2.60 2.52 2.45 2.40 2.35 2.31 2.28 2.23 2.18 2.12 2.08 2.04 1.99 2.96 1.92 1.90 1.87 1.85 1.84 20 8.10 5.85 4.94 4.43 4.10 3.87 3.71 3.56 3.45 3.37 3.30 3.23 3.13 3.05 2.94 2.86 2.77 2.69 2.63 2.56 2.53 2.47 2.44 2.42 21 4.32 3.47 3.07 2.84 2.68 2.57 2.49 2.42 2.37 2.32 2.28 2.25 2.20 2.15 2.09 2.05 2.00 1.96 1.93 1.89 1.87 1.84 1.82 1.81 21 8.02 5.78 4.87 4.37 4.04 3.81 3.65 3.51 3.40 3.31 3.24 3.17 3.07 2.99 2.88 2.80 2.72 2.63 2.58 2.51 2.47 2.42 2.38 2.36 22 4.30 3.44 3.05 2.82 2.66 2.55 2.47 2.40 2.35 2.30 2.26 2.23 2.18 2.13 2.07 2.03 1.98. 1.93 1.91 1.87 1.84 1.81 1.80 1.78 22 22 7.94 5.72 4.82 4.31 3.99 3.76 3.59 3.45 3.35 3.26 3.18 3.12 3.02 2.94 2.83 2.75 2.67 2.58 2.53 2.46 2.42 2.37 2.33 2.31 23 4.28 3.42 7.88 5.66 4.76 4.26 3.03 2.80 2.64 2.53 2.45 2.38 2.32 2.28 2.24 2.20 2.14 2.10 2.04 2.00 1.96 1.91 1.88 1.84 1.82 1.79 1.77 1.76 23 3.94 3.71 3.54 3.41 3.30 3.21 3.14 3.07 2.97 2.89 2.78 2.70 2.62 2.53 2.48 2.41 2.37 2.32 2.28 2.26 24 4.26 3.40 3.01 2.78 2.62 2.51 2.43 2.36 2.30 2.26 2.22 2.18 2.13 2.09 2.02 1.98 1.94 1.89 1.86 1.82 1.80 1.76 1.74 1.73 24 7.82 5.61 4.72 4.22 3.90 3.67 3.36 3.25 3.50 3.17 3.09 3.03 2.93 2.85 2.74 2.66 2.58 2.49 2.44 2.36 2.23 2.27 2.33 2.21 25 4.24 3.38 7.77 5.57 2.99 2.76 2.60 2.49 2.41 4.68 4.18 3.86 3.63 2.34 2.28 3.46 3.32 3.21 3.13 2.24 2.20 2.16 2.11 2.06 2.00 1.96 1.92 1.87 1.84 3.05 2.89 2.81 2.70 2.99 2.62 2.54 2.45 2.40 1.80 2.32 2.29 1.77 1.74 1.72 1.71 25 2.23 2.19 2.17 26 4.22 3.37 2.98 2.74 2.59 2.47 7.72 5.53 4.64 4.14 3.82 2.39 2.32 2.27 2.22 3.59 3.42 3.29 3.17 3.09 2.18 2.15 3.02 2.10 2.96 2.86 2.05 1.99 1.95 1.90 1.85 1.82 1.78 2.77 2.66 2.58 2.50 2.41 2.36 1.76 2.28 2.25 2.19 2.15 2.13 1.72 1.70 1.69 26 15 (continued) 11 TABLE G Critical values of the studentized range statistic (for Tukey HSD tests) a = .05 Number of levels of the independent variable 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 17.97 26.98 32.82 37.07 40.41 43.12 45.40 47.36 49.07 50.59 51.96 53.20 54.33 55.36 2 6.08 8.33 9.80 10.88 11.74 12.44 13.03 13.54 13.99 14.39 14.75 15.08 15.38 15.65 3 4.50 5.91 6.82 7.50 8.04 8.48 8.85 9.18 9.46 9.72 9.95 10.15 10.35 10.53 4 3.93 5.04 5.76 6.29 6.71 7.05 7.35 7.60 7.33 8.03 8.21 8.37 8.52 8.66 5 3.64 4.60 5.22 5.67 6.03 6.33 6.58 6.80 7.00 7.17 7.32 7.47 7.60 7.72 6 3.46 4.34 4.90 5.31 5.63 5.90 6.12 6.32 6.49 6.65 6.79 6.92 7.03 7.14 7 3.34 4.16 4.68 5.06 5.36 5.61 5.82 6.00 6.16 6.30 6.43 6.55 6.66 6.76 8 3.26 4.04 4.53 4.89 5.17 5.40 5.60 5.77 5.92 6.05 6.18 6.29 6.39 6.48 9 3.20 3.95 4.42 4.76 5.02 5.24 5.43 5.60 5.74 5.87 5.98 6.09 6.19 6.28 10 3.15 3.88 4.33 4.65 4.91 5.12 5.30 5.46 5.60 5.72 5.83 5.94 6.03 6.11 11 3.11 3.82 4.26 4.57 4.82 5.03 5.20 5.35 5.49 5.60 5.71 5.81 5.90 5.98 12 3.08 3.77 4.20 4.51 4.75 4.95 5.12 5.26 5.40 5.51 5.62 5.71 5.79 5.88 13 3.06 3.74 4.15 4.45 4.69 4.88 5.05 5.19 5.32 5.43 5.53 5.63 5.71 5.79 14 3.03 3.70 4.11 4.41 4.64 4.83 4.99 5.13 5.25 5.36 5.46 5.55 5.64 5.71 15 3.01 3.67 4.08 4.37 4.60 4.78 4.94 5.08 5.20 5.31 5.40 5.49 5.57 5.65 16 3.00 3.65 4.05 4.33 4.56 4.74 4.90 5.03 5.15 5.26 5.35 5.44 5.52 5.59 17 2.98 3.63 4.02 4.30 4.52 4.70 4.86 4.99 5.11 5.21 5.31 5.39 5.47 5.54 18 2.97 3.61 4.00 4.28 4.50 4.67 4.82 4.96 5.07 5.17 5.27 5.35 5.43 5.50 19 2.96 3.59 3.98 4.25 4.47 4.64 4.79 4.92 5.04 5.14 5.23 5.32 5.39 5.46 20 2.95 3.58 3.96 4.23 4.44 4.62 4.77 4.90 5.01 5.11 5.20 5.28 5.36 5.43 24 2.92 3.53 3.90 4.17 4.37 4.54 4.68 4.81 4.92 5.01 5.10 5.18 5.25 5.32 30 2.89 3.49 3.84 4.10 4.30 4.46 4.60 4.72 4.82 4.92 5.00 5.08 5.15 5.21 40 2.86 3.44 3.79 4.04 4.23 4.39 4.52 4.64 4.74 4.82 4.90 4.98 5.04 5.11 60 2.83 3.40 3.74 3.98 4.16 4.31 4.44 4.55 4.65 4.73 4.81 4.88 4.94 5.00 120 2.80 3.36 3.69 3.92 4.10 4.24 4.36 4.47 4.56 4.64 4.71 4.78 4.841 4.90 8 2.77 3.31 3.63 3.86 4.03 4.17 4.29 4.39 4.47 4.55 4.62 4.68 4.74 4.80 (continued) Source: From "Tables of Range and Studentized Range," by H. L.. Harter, 1960, Annals of Mathematical Statistics, 31, 1122-1147. Copyright 1960 The Institute of Mathematical Statistics. Reprinted with permission.