A market analyst is testing whether product preference (Product A, B, or C) is independent of customer age group (under 3030, 30–5030–50, over 5050). She surveys 9090 customers and constructs a 3×33×3 contingency table.At the 0.050.05 significance level, what is the critical chi-square value? What is the rejection region?

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

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

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

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

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Problem 308Multiple Choice

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?

$chi squared equals 5.991$ ; Reject if $chi squared is greater than 5.991$

$chi squared equals 9.488$ ; Reject if $chi squared is greater than 9.488$

$chi squared equals 11.070$ ; Reject if $chi squared is greater than 11.070$

$chi squared equals 7.815$ ; Reject if $chi squared is greater than 7.815$

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