300 randomly selected television viewers were questioned on the main reason they watched particular programs. The results are given below.
"Relieve Boredom" "Get some Laughs" "Learn Something" Total
Male 65 70 25 160
Female 45 50 45 140
Total 110 120 70 300
a. State the null and alternative hypotheses for a contingency table test for independence of gender.
b. State the decision rule, using a .05 level of significance.
c. Calculate the χ2 test statistic for this data.
d. Give your conclusion for this test.