A survey of 500 respondents produced these cell counts in a 2 3 contingency table:
Columns
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 into-and you plan to use a chi-square test, how many degrees of freedom will be associated with the chi-square statistic?
b. Find the value of the test statistic.
c. Find the rejection region for = 0.01.
d. Conduct the test and state your conclusions.
e. Find the approximate p-value for the test.
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