a-market-analyst-is-testing-whether-product-preference-product-a-b-or-c-is-indep

Question

A market analyst is testing whether product preference (Product A, B, or C) is independent of customer age group (under $30$ , $30 en dash 50$ , over $50$ ). She surveys $90$ customers and constructs a $3 times 3$ contingency table.
At the $0.05$ significance level, what is the critical chi-square value? What is the rejection region?

Accepted Answer

χ2=9.488\$$chi^2=9.488$$; Reject if 9.488"\u003eχ2\u003e9.488\$$chi^2$$\u003e9.488

Answer

χ2=5.991\$$chi^2=5.991$$; Reject if 5.991"\u003eχ2\u003e5.991\$$chi^2$$\u003e5.991

Answer

χ2=11.070\$$chi^2=11.070$$; Reject if 11.070"\u003eχ2\u003e11.070\$$chi^2$$\u003e11.070

Answer

χ2=7.815\$$chi^2=7.815$$; Reject if 7.815"\u003eχ2\u003e7.815\$$chi^2$$\u003e7.815