In: Statistics and Probability
Find the expected count and the contribution to the chi-square statistic for the (C,E) cell in the two-way table below
D E F G Total
A 35 30 44 41 150
B 78 90 67 58 293
C 19 38 26 32 115
Total 132 158 137 131 558
Round your answer for the expected count to one decimal place, and your answer for the contribution to the chi-square statistic to three decimal places.
Expected count =
contribution to the chi-square statistic =
Expected count = 32.6
contribution to the chi-square statistic = 0.908
D | E | F | G | Total | ||
A | Observed | 35 | 30 | 44 | 41 | 150 |
Expected | 35.5 | 42.5 | 36.8 | 35.2 | 150.00 | |
O - E | -0.48 | -12.47 | 7.17 | 5.78 | 0.00 | |
(O - E)² / E | 0.007 | 3.663 | 1.397 | 0.950 | 6.02 | |
B | Observed | 78 | 90 | 67 | 58 | 293 |
Expected | 69.3 | 83.0 | 71.9 | 68.8 | 293.00 | |
O - E | 8.69 | 7.04 | -4.94 | -10.79 | 0.00 | |
(O - E)² / E | 1.089 | 0.597 | 0.339 | 1.692 | 3.72 | |
C | Observed | 19 | 38 | 26 | 32 | 115 |
Expected | 27.2 | 32.6 | 28.2 | 27.0 | 115.00 | |
O - E | -8.20 | 5.44 | -2.23 | 5.00 | 0.00 | |
(O - E)² / E | 2.474 | 0.908 | 0.177 | 0.927 | 4.49 | |
Total | Observed | 132 | 158 | 137 | 131 | 558 |
Expected | 132.00 | 158.00 | 137.00 | 131.00 | 558.00 | |
O - E | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | |
(O - E)² / E | 3.57 | 5.17 | 1.91 | 3.57 | 14.22 | |
14.22 | chi-square | |||||
6 | df | |||||
.0273 | p-value |