Question
Historically, the MBA program at Whatsamattu U. has about 40% of their students choose a Leadership...
Historically, the MBA program at Whatsamattu U. has about 40% of their students choose a Leadership major, 30% choose a Finance major, 20% choose a Marketing major, and 10% choose no major. Does the most recent class of 200 MBA students fit that same pattern or has there been a shift in the choice of majors. Using the sample of 200 students (in the data file), conduct a Chi Square Goodness of Fit test to determine if the current distribution fits the historical pattern. Use a .05 significance level.
| ID | Gender | Major | Employ | Age | MBA_GPA | BS GPA | Hrs_Studying | Works FT |
| 1 | 0 | No Major | Unemployed | 39 | 2.82 | 3 | 10 | 0 |
| 2 | 1 | No Major | Full Time | 55 | 4 | 4 | 15 | 0 |
| 3 | 0 | No Major | Part Time | 43 | 3.45 | 3.5 | 3 | 0 |
| 4 | 0 | No Major | Full Time | 56 | 2.61 | 4 | 4 | 0 |
| 5 | 1 | No Major | Full Time | 38 | 3.5 | 3.3 | 5 | 0 |
| 6 | 0 | No Major | Unemployed | 54 | 4 | 3.05 | 5 | 1 |
| 7 | 0 | No Major | Full Time | 30 | 3 | 4 | 6 | 0 |
| 8 | 0 | No Major | Full Time | 37 | 2.5 | 3.6 | 6 | 0 |
| 9 | 0 | No Major | Part Time | 38 | 2.84 | 3.05 | 6 | 0 |
| 10 | 0 | No Major | Full Time | 42 | 3.72 | 3.7 | 6 | 0 |
| 11 | 0 | No Major | Part Time | 52 | 3.21 | 3.5 | 6 | 0 |
| 12 | 0 | No Major | Full Time | 35 | 3.44 | 3.55 | 6 | 0 |
| 13 | 0 | No Major | Full Time | 37 | 3.65 | 2.78 | 6 | 0 |
| 14 | 0 | No Major | Full Time | 53 | 3.02 | 3.3 | 6 | 0 |
| 15 | 0 | No Major | Part Time | 51 | 3.03 | 3.25 | 6 | 0 |
| 16 | 1 | No Major | Full Time | 40 | 3.8 | 4 | 6 | 0 |
| 17 | 0 | Finance | Full Time | 33 | 4 | 3.5 | 6 | 1 |
| 18 | 0 | No Major | Part Time | 53 | 3.26 | 3.5 | 7 | 0 |
| 19 | 0 | No Major | Full Time | 43 | 3.53 | 3.75 | 6 | 0 |
| 20 | 0 | Finance | Unemployed | 35 | 3.75 | 3.9 | 7 | 0 |
| 21 | 0 | No Major | Full Time | 57 | 3.15 | 3.2 | 6 | 0 |
| 22 | 1 | No Major | Part Time | 32 | 3.66 | 3.75 | 8 | 0 |
| 23 | 1 | No Major | Full Time | 59 | 3.36 | 3.45 | 8 | 0 |
| 24 | 1 | No Major | Full Time | 48 | 3.79 | 2.55 | 8 | 0 |
| 25 | 1 | No Major | Part Time | 34 | 2.85 | 3.05 | 8 | 0 |
| 26 | 1 | No Major | Full Time | 53 | 3.74 | 3.9 | 8 | 0 |
| 27 | 1 | No Major | Part Time | 35 | 3.23 | 4 | 2 | 0 |
| 28 | 1 | No Major | Unemployed | 38 | 3.52 | 3.7 | 2 | 0 |
| 29 | 1 | No Major | Part Time | 37 | 3.32 | 3.45 | 2 | 0 |
| 30 | 0 | Finance | Full Time | 46 | 2.89 | 3.1 | 2 | 0 |
| 31 | 0 | No Major | Full Time | 44 | 2.83 | 3.05 | 1 | 0 |
| 32 | 0 | No Major | Unemployed | 31 | 2.93 | 3.1 | 1 | 0 |
| 33 | 0 | No Major | Full Time | 51 | 3.71 | 3.8 | 1 | 0 |
| 34 | 0 | Finance | Full Time | 47 | 3.47 | 2.6 | 4 | 0 |
| 35 | 0 | No Major | Part Time | 56 | 3.52 | 3.8 | 4 | 0 |
| 36 | 1 | Finance | Part Time | 42 | 2.83 | 4 | 4 | 0 |
| 37 | 0 | Finance | Full Time | 44 | 3.64 | 3.55 | 6 | 1 |
| 38 | 0 | No Major | Unemployed | 54 | 2.96 | 3.1 | 6 | 0 |
| 39 | 0 | Finance | Full Time | 51 | 3.59 | 3.9 | 6 | 1 |
| 40 | 0 | No Major | Part Time | 42 | 3.33 | 3.9 | 6 | 1 |
| 41 | 0 | Finance | Full Time | 45 | 3.38 | 3.6 | 6 | 0 |
| 42 | 0 | Finance | Full Time | 55 | 3.44 | 3.35 | 6 | 1 |
| 43 | 0 | No Major | Full Time | 47 | 3.31 | 3.9 | 7 | 0 |
| 44 | 1 | Finance | Unemployed | 43 | 3.03 | 3.25 | 7 | 0 |
| 45 | 0 | Finance | Full Time | 57 | 3.26 | 3.4 | 7 | 1 |
| 46 | 1 | Finance | Full Time | 36 | 3.04 | 4 | 7 | 0 |
| 47 | 1 | No Major | Part Time | 58 | 2.98 | 3.1 | 7 | 0 |
| 48 | 1 | Finance | Full Time | 46 | 2.8 | 3.05 | 7 | 0 |
| 49 | 1 | Finance | Full Time | 53 | 3.75 | 3.75 | 3 | 1 |
| 50 | 0 | Finance | Full Time | 59 | 3.64 | 3.65 | 3 | 1 |
| 51 | 0 | No Major | Full Time | 49 | 3.65 | 3.8 | 3 | 1 |
| 52 | 0 | Finance | Full Time | 34 | 3.18 | 3.3 | 3 | 0 |
| 53 | 0 | No Major | Full Time | 46 | 3.44 | 4 | 3 | 1 |
| 54 | 1 | Finance | Unemployed | 46 | 3.06 | 3.15 | 3 | 1 |
| 55 | 1 | Finance | Full Time | 33 | 3.51 | 3.75 | 10 | 0 |
| 56 | 1 | Marketing | Part Time | 56 | 3.33 | 3.4 | 2 | 1 |
| 57 | 1 | Marketing | Full Time | 39 | 2.81 | 3.05 | 2 | 0 |
| 58 | 1 | Marketing | Full Time | 51 | 3.64 | 3.8 | 8 | 1 |
| 59 | 1 | Leadership | Part Time | 55 | 3.05 | 3.4 | 7 | 0 |
| 60 | 1 | Leadership | Full Time | 38 | 2.85 | 3.25 | 3 | 1 |
| 61 | 1 | Marketing | Full Time | 33 | 3.56 | 3.6 | 7 | 1 |
| 62 | 1 | Marketing | Full Time | 34 | 2.92 | 3.1 | 5 | 0 |
| 63 | 1 | Marketing | Full Time | 31 | 3.35 | 3.5 | 7 | 1 |
| 64 | 1 | Marketing | Full Time | 37 | 3.46 | 3.35 | 10 | 1 |
| 65 | 1 | Marketing | Full Time | 46 | 3.59 | 3.75 | 8 | 1 |
| 66 | 1 | No Major | Unemployed | 31 | 3.11 | 3.2 | 6 | 0 |
| 67 | 1 | No Major | Full Time | 47 | 3.65 | 3.7 | 8 | 1 |
| 68 | 1 | No Major | Part Time | 54 | 3.17 | 3.5 | 7 | 0 |
| 69 | 1 | No Major | Full Time | 52 | 2.97 | 3.1 | 5 | 1 |
| 70 | 1 | Marketing | Part Time | 43 | 3.77 | 3.9 | 8 | 1 |
| 71 | 1 | Leadership | Full Time | 44 | 3.21 | 3.2 | 6 | 1 |
| 72 | 1 | Leadership | Part Time | 34 | 3.17 | 3.15 | 6 | 0 |
| 73 | 1 | Leadership | Full Time | 59 | 3.65 | 3.65 | 10 | 0 |
| 74 | 1 | Leadership | Full Time | 45 | 2.94 | 3.1 | 5 | 0 |
| 75 | 1 | Leadership | Full Time | 30 | 3.53 | 3.7 | 8 | 1 |
| 76 | 1 | No Major | Full Time | 32 | 3.65 | 3.6 | 7 | 1 |
| 77 | 1 | Leadership | Full Time | 32 | 3.61 | 3.7 | 8 | 1 |
| 78 | 1 | No Major | Full Time | 40 | 3.7 | 3.9 | 8 | 1 |
| 79 | 1 | Leadership | Full Time | 48 | 2.91 | 3.1 | 5 | 1 |
| 80 | 1 | Leadership | Unemployed | 51 | 3.09 | 3.25 | 6 | 0 |
| 81 | 1 | Leadership | Full Time | 30 | 3.77 | 3.95 | 9 | 1 |
| 82 | 1 | Leadership | Full Time | 31 | 3.79 | 3.8 | 8 | 1 |
| 83 | 1 | Leadership | Full Time | 35 | 3.59 | 3.6 | 7 | ) |
| 84 | 1 | Leadership | Full Time | 33 | 3.38 | 3.5 | 8 | 1 |
| 85 | 1 | No Major | Full Time | 35 | 4 | 3.5 | 8 | 1 |
| 86 | 1 | Marketing | Full Time | 31 | 2.97 | 3.1 | 8 | 0 |
| 87 | 1 | Marketing | Full Time | 38 | 3.44 | 3.65 | 8 | 1 |
| 88 | 1 | No Major | Part Time | 46 | 3.64 | 3.55 | 8 | 1 |
| 89 | 1 | Finance | Full Time | 45 | 3.48 | 3.4 | 8 | 1 |
| 90 | 1 | Finance | Full Time | 59 | 2.76 | 3.1 | 8 | 1 |
| 91 | 1 | Finance | Full Time | 58 | 3.73 | 3.8 | 8 | 1 |
| 92 | 1 | Finance | Full Time | 46 | 2.91 | 3.05 | 8 | 1 |
| 93 | 1 | Finance | Full Time | 35 | 3.78 | 3.95 | 9 | 1 |
| 94 | 1 | Finance | Part Time | 53 | 3.5 | 3.4 | 7 | 1 |
| 95 | 1 | Finance | Full Time | 31 | 3.13 | 3.15 | 6 | 1 |
| 96 | 1 | Finance | Full Time | 50 | 3.14 | 3.25 | 6 | 1 |
| 97 | 1 | Finance | Full Time | 38 | 3.24 | 3.3 | 6 | 1 |
| 98 | 1 | Finance | Full Time | 50 | 3.56 | 3.5 | 7 | 1 |
| 99 | 1 | Finance | Full Time | 48 | 3.16 | 3.25 | 6 | 1 |
| 100 | 1 | Finance | Full Time | 53 | 3.53 | 3.55 | 7 | 1 |
| 101 | 0 | No Major | Unemployed | 53 | 3.7 | 3.15 | 6 | 0 |
| 102 | 0 | Marketing | Full Time | 30 | 3.3 | 3.35 | 6 | 1 |
| 103 | 0 | Marketing | Part Time | 32 | 4 | 3.6 | 7 | 0 |
| 104 | 0 | Leadership | Full Time | 42 | 3.5 | 3.4 | 7 | 0 |
| 105 | 0 | Leadership | Full Time | 56 | 3.39 | 3.4 | 7 | 1 |
| 106 | 0 | No Major | Full Time | 46 | 3.65 | 3.8 | 8 | 1 |
| 107 | 0 | Leadership | Full Time | 49 | 2.78 | 3.7 | 8 | 1 |
| 108 | 0 | No Major | Part Time | 32 | 3.44 | 3.6 | 7 | 0 |
| 109 | 0 | No Major | Full Time | 36 | 3.88 | 3.95 | 9 | 1 |
| 110 | 0 | No Major | Full Time | 42 | 2.84 | 3.95 | 9 | 1 |
| 111 | 0 | No Major | Part Time | 37 | 3.53 | 3.6 | 7 | 1 |
| 112 | 0 | No Major | Full Time | 31 | 3.22 | 3.3 | 6 | 0 |
| 113 | 0 | No Major | Full Time | 31 | 3.56 | 3.8 | 8 | 1 |
| 114 | 0 | No Major | Unemployed | 42 | 3.2 | 3.25 | 6 | 1 |
| 115 | 0 | No Major | Full Time | 39 | 3.56 | 3.3 | 6 | 1 |
| 116 | 0 | No Major | Full Time | 47 | 3.41 | 3.6 | 7 | 1 |
| 117 | 0 | Leadership | Part Time | 28 | 3.56 | 3.7 | 8 | 1 |
| 118 | 0 | Leadership | Unemployed | 28 | 3.34 | 3.6 | 7 | 0 |
| 119 | 0 | Leadership | Full Time | 52 | 2.56 | 3.6 | 7 | 1 |
| 120 | 0 | Leadership | Part Time | 35 | 3.76 | 3.8 | 8 | 1 |
| 121 | 1 | Finance | Full Time | 38 | 3.55 | 3.45 | 7 | 1 |
| 122 | 1 | No Major | Full Time | 44 | 3.88 | 3.9 | 8 | 1 |
| 123 | 1 | No Major | Part Time | 38 | 3.31 | 3.45 | 7 | 1 |
| 124 | 1 | Finance | Full Time | 52 | 3.09 | 3.15 | 6 | 1 |
| 125 | 1 | Finance | Unemployed | 53 | 3.82 | 4 | 9 | 0 |
| 126 | 1 | Finance | Part Time | 53 | 3.01 | 3.2 | 6 | 1 |
| 127 | 1 | Finance | Full Time | 31 | 3.66 | 3.85 | 8 | 1 |
| 128 | 1 | Finance | Part Time | 47 | 3.64 | 3.7 | 8 | 1 |
| 129 | 1 | Finance | Full Time | 51 | 3.59 | 3.65 | 7 | 1 |
| 130 | 1 | Finance | Unemployed | 37 | 3.49 | 3.55 | 7 | 1 |
| 131 | 1 | Finance | Part Time | 46 | 3.13 | 3.2 | 6 | 1 |
| 132 | 1 | Finance | Full Time | 48 | 3.83 | 3.9 | 8 | 1 |
| 133 | 1 | Leadership | Full Time | 54 | 3.04 | 3.15 | 6 | 1 |
| 134 | 1 | Leadership | Full Time | 48 | 3.91 | 4 | 10 | 1 |
| 135 | 1 | Leadership | Full Time | 36 | 3.56 | 3.7 | 8 | 1 |
| 136 | 1 | Finance | Unemployed | 39 | 3.96 | 4 | 9 | 1 |
| 137 | 1 | Finance | Full Time | 28 | 3.46 | 3.4 | 7 | 1 |
| 138 | 1 | Finance | Part Time | 45 | 3.22 | 3.15 | 6 | 0 |
| 139 | 1 | Finance | Full Time | 31 | 3.27 | 3.2 | 6 | 0 |
| 140 | 1 | Finance | Full Time | 47 | 3.43 | 3.45 | 7 | 1 |
| 141 | 1 | Finance | Part Time | 35 | 3.85 | 3.95 | 9 | 1 |
| 142 | 1 | Finance | Full Time | 52 | 3.89 | 3.9 | 8 | 1 |
| 143 | 0 | Finance | Part Time | 52 | 3.37 | 3.45 | 7 | 1 |
| 144 | 1 | Finance | Unemployed | 55 | 3.32 | 3.3 | 6 | 0 |
| 145 | 1 | Finance | Full Time | 52 | 3.54 | 3.55 | 7 | 1 |
| 146 | 1 | Finance | Part Time | 46 | 3.8 | 3.9 | 8 | 1 |
| 147 | 1 | Leadership | Full Time | 31 | 3.74 | 3.85 | 8 | 1 |
| 148 | 1 | Leadership | Unemployed | 33 | 3.6 | 3.45 | 7 | 1 |
| 149 | 1 | Leadership | Part Time | 45 | 2.6 | 3.55 | 7 | 1 |
| 150 | 1 | Leadership | Unemployed | 50 | 3.8 | 3.3 | 6 | 1 |
| 151 | 1 | No Major | Part Time | 33 | 2.67 | 3.45 | 7 | 1 |
| 152 | 1 | No Major | Full Time | 37 | 3.95 | 4 | 9 | 1 |
| 153 | 1 | No Major | Unemployed | 33 | 3.56 | 3.75 | 8 | 0 |
| 154 | 1 | Marketing | Full Time | 46 | 3.79 | 3.75 | 8 | 1 |
| 155 | 1 | Marketing | Unemployed | 55 | 3.93 | 4 | 9 | 1 |
| 156 | 1 | Marketing | Full Time | 30 | 3.79 | 3.85 | 8 | 1 |
| 157 | 1 | Marketing | Full Time | 51 | 3.71 | 3.85 | 8 | 1 |
| 158 | 1 | Marketing | Unemployed | 35 | 3.05 | 3.35 | 6 | 1 |
| 159 | 1 | Marketing | Unemployed | 40 | 3.22 | 3.2 | 6 | 1 |
| 160 | 0 | Marketing | Part Time | 29 | 3.85 | 3.95 | 9 | 1 |
| 161 | 1 | Marketing | Full Time | 52 | 3.82 | 3.95 | 9 | 1 |
| 162 | 1 | Marketing | Unemployed | 27 | 3.23 | 3.95 | 9 | 1 |
| 163 | 1 | Marketing | Full Time | 51 | 3.56 | 3.65 | 7 | 1 |
| 164 | 0 | Marketing | Part Time | 56 | 3.53 | 3.65 | 7 | 1 |
| 165 | 1 | Marketing | Unemployed | 35 | 3.62 | 4 | 9 | 1 |
| 166 | 1 | Leadership | Full Time | 46 | 3.8 | 3.95 | 9 | 1 |
| 167 | 1 | Leadership | Part Time | 39 | 3.47 | 3.35 | 6 | 0 |
| 168 | 1 | Leadership | Full Time | 31 | 3.64 | 3.65 | 7 | 1 |
| 169 | 1 | Leadership | Part Time | 52 | 3.03 | 3.15 | 5 | 1 |
| 170 | 1 | Leadership | Unemployed | 35 | 3.17 | 3.25 | 6 | 1 |
| 171 | 1 | Leadership | Full Time | 32 | 3.22 | 3.2 | 6 | 1 |
| 172 | 0 | Leadership | Part Time | 44 | 3.92 | 4 | 10 | 1 |
| 173 | 1 | Leadership | Unemployed | 43 | 3.82 | 3.95 | 9 | 1 |
| 174 | 1 | Leadership | Part Time | 38 | 3.26 | 3.55 | 7 | 1 |
| 175 | 1 | Leadership | Full Time | 54 | 3.8 | 3.85 | 8 | 1 |
| 176 | 1 | Leadership | Full Time | 30 | 3.2 | 3.2 | 6 | 0 |
| 177 | 0 | Leadership | Part Time | 38 | 3.46 | 3.35 | 6 | 1 |
| 178 | 1 | Leadership | Full Time | 45 | 3.67 | 3.75 | 8 | 1 |
| 179 | 1 | Leadership | Unemployed | 48 | 4 | 3.4 | 7 | 0 |
| 180 | 1 | Leadership | Full Time | 43 | 3.66 | 3.85 | 8 | 0 |
| 181 | 0 | Leadership | Full Time | 34 | 3.96 | 4 | 10 | 1 |
| 182 | 1 | Leadership | Full Time | 54 | 3.75 | 3.85 | 8 | 1 |
| 183 | 1 | Leadership | Full Time | 36 | 3.83 | 3.85 | 8 | 1 |
| 184 | 1 | Leadership | Full Time | 45 | 3.55 | 3.2 | 6 | 1 |
| 185 | 0 | Leadership | Unemployed | 55 | 3.36 | 3.35 | 6 | 1 |
| 186 | 1 | Leadership | Part Time | 45 | 3.21 | 3.25 | 6 | 1 |
| 187 | 1 | Leadership | Part Time | 34 | 2.97 | 3.15 | 5 | 1 |
| 188 | 0 | Leadership | Part Time | 54 | 3.99 | 4 | 10 | 1 |
| 189 | 1 | Leadership | Full Time | 36 | 3.07 | 3.15 | 6 | 1 |
| 190 | 1 | Leadership | Full Time | 24 | 3.65 | 3.65 | 7 | 1 |
| 191 | 1 | Leadership | Full Time | 34 | 3.67 | 3.85 | 8 | 1 |
| 192 | 1 | Leadership | Full Time | 45 | 3.06 | 3.35 | 6 | 0 |
| 193 | 1 | Leadership | Unemployed | 33 | 3.98 | 3.7 | 8 | 1 |
| 194 | 1 | Leadership | Full Time | 22 | 3.93 | 4 | 10 | 1 |
| 195 | 1 | Leadership | Unemployed | 27 | 3.41 | 3.3 | 6 | 0 |
| 196 | 1 | Leadership | Unemployed | 33 | 3.43 | 3.5 | 7 | 1 |
| 197 | 1 | Leadership | Unemployed | 36 | 3.7 | 3.65 | 7 | 0 |
| 198 | 1 | Leadership | Unemployed | 34 | 3.76 | 3.75 | 8 | 1 |
| 199 | 1 | Leadership | Unemployed | 55 | 3.9 | 3.9 | 8 | 0 |
| 200 | 1 | Leadership | Full Time | 33 | 3.23 | 3.3 | 6 | 1 |
Homework Answers
Answer #1
| This tests the null hypothesis that the distribution is as expected. | ||
| In other words, it tests if the results fit the expected distribution. | ||
| Rejecting the null implies that the results do not fit the distribution. |
STep 1: First bring the data in to excel sheet and create a pivot table to align the data for chisquare table
STep 2: update chi square table
Step 3: create sub total and grant total in both rows and column of the data in the chi square table.
step 4: calculate beside observed freq - expected frequencies by each row and column
Step6: Prepare expected frequencies
formula is (row total * column total)/grant total
Step 7: PRepare
|
(fo - fe)^2/fe
|
STep 8: Full view chi-square table
STep 9: after that prepare degree of freedom and results
Conclusion: As per the P value (reject the null hypothesis) current distribution do not fits the historical pattern
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