Question

In: Statistics and Probability

Find the expected count and the contribution to the chi-square statistic for the (C,E) cell in...

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 =

Solutions

Expert Solution

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

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