a thex2 test statistic, ABCD 26 23 26 25 Expected 25 25 25 25 Determine b) the d

Question

a thex2 test statistic, ABCD 26 23 26 25 Expected 25 25 25 25 Determine b) the degrees of freedom, c) the critical value using = 0.05, and d) test the hypothesis at the = 0.05 level of significance. Observed H: At least one of the proportions is different from the others. (a) The test statistic is Type an exact answer.) (b) There are degrees of freedom (c) The critical value is Round to three decimal places as needed.) (d) Should the null hypothesis be rejected? OB. OC. OD, Yes because is less than or equal to Yes because isgreater thands No because is greater tanda 05

Explanation / Answer

here applying chi square test of goodness of fit on above data:

a) test statistic is 0.24

b) degree of freedom =categories -1= 3

c) critical value at 3 degree of freedom and 0.05 level =7.815

d) option A is corect

observed Expected Chi square category Probability O E=total*p =(O-E)^2/E A 0.250 26.000 25.00 0.04 B 0.250 23.000 25.00 0.16 C 0.250 26.000 25.00 0.04 D 0.250 25.000 25.00 0.00 1 100 100 0.2400

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