14.18 A survey of 400 respondents produced these cell counts in a 2 3 contingency table:

a. If you wish to test the null hypothesis of "independence" that the probability that a response falls in any one row is independent of the column it falls in-and you plan to use a chi-square test, how many degrees of freedom will be associated with the x statistic?

b. Find the value of the test statistic.

c. Find the rejection region for a = 0.01.

d. Conduct the test and state your conclusions.

e. Find the approximate p-value for the test and interpret its value.

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Columns Rows 1 2 3 Total 1 37 34 93 164 2 66 57 113 236 Total 103 91 206 400