Chi-Square Follow the steps for a chi-square test for the following situations: 1. Given the survey results of 1500 respondents about their preference for science fiction. (sianificant level is 0.001) 2. Given the following observation of 100 respondents who deposits garbage into the garbage bin or simply litters. 3. A group of young adults were classified in terms of personality (introvert or extrovert) and in terms of their colour preferences (red, green, blue or yellow). The observed count is shown in the following table. (Assume significance level is 0.001) Table 1 : Observed counts of colour with respect to personality \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \multirow[b]{2}{*}{ df } & \multicolumn{12}{|c|}{ Tail probability p} \\ \hline & .25 & .20 & .15 & .10 & .05 & .025 & .02 & .01 & .005 & .0025 & .001 & .0005 \\ \hline 1 & 1.32 & 1.64 & 2.07 & 2.71 & 3.84 & 5.02 & 5.41 & 6.63 & 7.88 & 9.14 & 10.83 & 12.12 \\ \hline 2 & 2.77 & 3.22 & 3.79 & 4.61 & 5.99 & 7.38 & 7.82 & 9.21 & 10.60 & 11.98 & 13.82 & 15.20 \\ \hline 3 & 4.11 & 4.64 & 5.32 & 6.25 & 7.81 & 9.35 & 9.84 & 11.34 & 12.84 & 14.32 & 16.27 & 17.73 \\ \hline 4 & 5.39 & 5.99 & 6.74 & 7.78 & 9.49 & 11.14 & 11.67 & 13.28 & 14.86 & 16.42 & 18.47 & 20.00 \\ \hline 5 & 6.63 & 7.29 & 8.12 & 9.24 & 11.07 & 12.83 & 13.39 & 15.09 & 16.75 & 18.39 & 20.51 & 22.11 \\ \hline 6 & 7.84 & 8.56 & 9.45 & 10.64 & 12.59 & 14.45 & 15.03 & 16.81 & 18.55 & 20.25 & 22.46 & 24.10 \\ \hline 7 & 9.04 & 9.80 & 10.75 & 12,02 & 14.07 & 16.01 & 16.62 & 18.48 & 20.28 & 22.04 & 24.32 & 26,02 \\ \hline 8 & 10.22 & 11.03 & 12.03 & 13,36 & 15.51 & 17.53 & 18.17 & 20.09 & 21.95 & 23.77 & 26.12 & 27.87 \\ \hline 9 & 11.39 & 12.24 & 13.29 & 14.68 & 16.92 & 19.02 & 19.68 & 21.67 & 23.59 & 25.46 & 27.88 & 29.67 \\ \hline 10 & 12.55 & 13.44 & 14.53 & 15,99 & 18.31 & 20.48 & 21.16 & 23.21 & 25,19 & 27.11 & 29.59 & 31.42 \\ \hline 11 & 13.70 & 14.63 & 15.77 & 17.28 & 19.68 & 21.92 & 22.62 & 24.72 & 26.76 & 28.73 & 31.26 & 33.14 \\ \hline 12 & 14.85 & 15.81 & 16.99 & 18.55 & 21.03 & 23.34 & 24.05 & 26.22 & 28.30 & 30.32 & 32.91 & 34.82 \\ \hline 13 & 15.98 & 16.98 & 18.20 & 19.81 & 22.36 & 24.74 & 25.47 & 27.69 & 29.82 & 31.88 & 34.53 & 36.48 \\ \hline 14 & 17,12 & 18.15 & 19.41 & 21,06 & 23.68 & 26.12 & 26.87 & 29.14 & 31,32 & 33.43 & 36.12 & 38.11 \\ \hline 15 & 18.25 & 19.31 & 20.60 & 22.31 & 25.00 & 27.49 & 28.26 & 30.58 & 32.80 & 34.95 & 37.70 & 39.72 \\ \hline 16 & 19.37 & 20.47 & 21.79 & 23,54 & 26.30 & 28.85 & 29.63 & 32.00 & 34.27 & 36.46 & 39.25 & 41.31 \\ \hline 17 & 20.49 & 21.61 & 22.98 & 24.77 & 27.59 & 30.19 & 31.00 & 33.41 & 35.72 & 37.95 & 40.79 & 42.88 \\ \hline 18 & 21.60 & 22.76 & 24.16 & 25,99 & 28.87 & 31.53 & 32.35 & 34.81 & 37.16 & 39.42 & 42.31 & 44,43 \\ \hline 19 & 22.72 & 23.90 & 25.33 & 27.20 & 30.14 & 32.85 & 33.69 & 36.19 & 38.58 & 40.88 & 43.82 & 45,97 \\ \hline 20 & 23.83 & 25.04 & 26.50 & 28.41 & 31.41 & 34.17 & 35.02 & 37.57 & 40,00 & 42.34 & 45.31 & 47.50 \\ \hline 21 & 24.93 & 26.17 & 27.66 & 29.62 & 32.67 & 35.48 & 36.34 & 38.93 & 41.40 & 43.78 & 46.80 & 49.01 \\ \hline 22 & 26.04 & 27.30 & 28.82 & 30.81 & 33.92 & 36.78 & 37.66 & 40.29 & 42.80 & 45.20 & 48.27 & 50.51 \\ \hline 23 & 27,14 & 28.43 & 29.98 & 32,01 & 35,17 & 38.08 & 38.97 & 41.64 & 44.18 & 46.62 & 49.73 & 52,00 \\ \hline 24 & 28.24 & 29.55 & 31.13 & 33,20 & 36.42 & 39.36 & 40.27 & 42.98 & 45,56 & 48.03 & 51.18 & 53.48 \\ \hline 25 & 29.34 & 30.68 & 32.28 & 34.38 & 37.65 & 40.65 & 41.57 & 44.31 & 46.93 & 49.44 & 52.62 & 54.95 \\ \hline 26 & 30.43 & 31.79 & 33.43 & 35,56 & 38.89 & 41.92 & 42.86 & 45.64 & 48.29 & 50.83 & 54.05 & 56.41 \\ \hline 27 & 31.53 & 32.91 & 34.57 & 36.74 & 40.11 & 43.19 & 44.14 & 46.96 & 49.64 & 52.22 & 55.48 & 57,86 \\ \hline 28 & 32.62 & 34.03 & 35.71 & 37,92 & 41.34 & 44.46 & 45,42 & 48.28 & 50,99 & 53.59 & 56.89 & 59.30 \\ \hline 29 & 33.71 & 35.14 & 36.85 & 39.09 & 42.56 & 45.72 & 46.69 & 49.59 & 52.34 & 54.97 & 58.30 & 60.73 \\ \hline 30 & 34.80 & 36.25 & 37.99 & 40.26 & 43.77 & 46.98 & 47.96 & 50.89 & 53.67 & 56.33 & 59.70 & 62.16 \\ \hline 40 & 45.62 & 47.27 & 49.24 & 51.81 & 55.76 & 59.34 & 60.44 & 63.69 & 66.77 & 69.70 & 73.40 & 76.09 \\ \hline 50 & 56.33 & 58.16 & 60.35 & 63.17 & 67.50 & 71.42 & 72.61 & 76.15 & 79.49 & 82.66 & 86.66 & 89.56 \\ \hline 60 & 66.98 & 68.97 & 71.34 & 74.40 & 79.08 & 83.30 & 84.58 & 88.38 & 91.95 & 95.34 & 99.61 & 102.7 \\ \hline 80 & 88.13 & 90.41 & 93.11 & 96.58 & 101.9 & 106.6 & 108.1 & 112.3 & 116.3 & 120.1 & 124.8 & 128.3 \\ \hline 100 & 109.1 & 111.7 & 114.7 & 118.5 & 124.3 & 129.6 & 131.1 & 135.8 & 140.2 & 144.3 & 149.4 & 153.2 \\ \hline \end{tabular}