In testing see whether opinion with respect to the use of instant reply is indep

Question

In testing see whether opinion with respect to the use of instant reply is independent of the category of the person interviewed, a chi-square test statistic of 27.99 and a p-value less than 0.001 were calculated. Which of the following statements is correct? (A) The number of degrees of freedom for the test is 8 - 1 = 7. (B) The chi-square test should not have been used because two of the counts in the table are less than 5. (C) The null hypothesis states that there is an association between category and opinion about the use of instant replay, and the small p-value suggests that the null hypothesis should be rejected. (D) The small p-value suggests that there is evidence of an association between category and opinion about the use of instant replay. (E) The chi-square test shows that fans favor the use of instant replay.

Explanation / Answer

a) False

Since df = (row-1) * (Column-1) = (4-1)*(2-1) = 3

b) True

Since one of the assumption of chisquare that all cell frequencies must be greater than 5

c) False

since null hypothiesis H0: There is no association between category and opinion about the sue of the instant replay.

d) True

Since If P value is less than alpha (0.05 or 0.01) or p value is small then we reject H0.

Thus, there is evidence of an association between categor and opinion about the use of instant replay.

e) False

Chisquare test doesn't says that one particular level of the factor is effected

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