A. Using the following contingency table. Find the frequency for each cell. 1. A

Question

A. Using the following contingency table.         Find the frequency for each cell.               1. A 17, B 33, Total 50.                                     2. A. 33 B 42, Total 75.                                     Total 50    75            125.                                     B. Compare the observed and expected frequencies frequencies for each cell.         C. Compute X^2 stat and round to two decimal places. Is it significant at 0.01 and should the null hypothesis be rejected? Find the p value at alpha-level of 0.01. Round to three decimal places

Explanation / Answer

here applying chi square distribution for above contingency table:

for above test stat 1.250 and 1 degree of freedom ; p value =0.264

as p value is greater then 0.01 level of significance; above test is not significant at 0.01 level and null hypothesis should not be rejected.

Observed O A B Total 1 17 33 50 2 33 42 75 Total 50 75 125 Expected E=rowtotal*column total/grand total A B Total 1 20.000 30.000 50 2 30.000 45.000 75 Total 50 75 125 chi square =(O-E)^2/E A B Total 1 0.450 0.3000 0.750 2 0.300 0.200 0.500 Total 0.750 0.500 1.250

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