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 x2 statistic?
b. Find the value of the test statistic.
c. Find the rejection region for α = .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 2 3 Total 37 34 93 164 66 57 13 236 Total 103 9 206 400