Homework SourseWhen asked if they would take another course from the same p
When asked if they would take another course from the same professor, the students’ responses were distributed as shown in the table below.
| OBSERVED FREQUENCIES | ||||||
| Prof A | Prof B | Prof C | Prof D | Prof E | ||
| ABSOLUTELY | 2 | 20 | 6 | 0 | 51 | 79 |
| Yes | 10 | 43 | 6 | 0 | 32 | 91 |
| Maybe | 24 | 43 | 8 | 1 | 32 | 108 |
| No | 24 | 17 | 8 | 24 | 25 | 98 |
| Never | 10 | 3 | 6 | 24 | 15 | 58 |
| NOWAYNOHOW | 1 | 0 | 4 | 1 | 7 | 13 |
| 71 | 126 | 38 | 50 | 162 | 447 | |
| EXPECTED FREQUENCIES | ||||||
| Prof A | Prof B | Prof C | Prof D | Prof E | ||
| ABSOLUTELY | ||||||
| Yes | ||||||
| Maybe | ||||||
| No | ||||||
| Never | ||||||
| NOWAYNOHOW | ||||||
| 1 |
Solution
Expected frequency for (i,j)th cell is (ith row total * jth column total)/ Grand total.
| Prof A | Prof B | Prof C | Prof D | Prof E | |
| Absolutely | (79*71)/447=12.56 | (79*126)/447=22.27 | (79*38)/447=6.71 | (79*50)/447=8.84 | (79*162)/447=28.63 |
| Yes | (91*71)/447=14.45 | (91*126)/447=25.65 | (91*38)/447=7.74 | (91*50)/447=10.18 | (91*162)/447=32.98 |
| Maybe | (108*71)/447=17.15 | (108*126)/447=30.44 | (108*38)/447=9.18 | (108*50)/447=12.08 | (108*162)/447=39.14 |
| No | (98*71)/447=15.57 | (98*126)/447=27.62 | (98*38)/447=8.33 | (98*50)/447=10.96 | (98*162)/447=35.52 |
| Never | (58*71)/447=9.21 | (58*126)/447=16.35 | (58*38)/447=4.93 | (58*50)/447=6.49 | (58*162)/447=21.02 |
| NOWAYNOHOW | (13*71)/447=2.06 | (13*126)/447=3.66 | (13*38)/447=1.11 | (13*50)/447=1.45 | (13*162)/447=4.71 |
