Hypotheses for an independence test

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Five hundred randomly selected automobile owners were questioned on the main reason they had purchased their current automobile. The results are given below.

Styling. Engineering. Fuel Economy. Total

Male. 70. 130. 150 350

Female 30 20 100 150

Total 100 150 250 500

a. State the null and alternative hypotheses for an independence test.

b. State the decision rule for the critical value approach. Let α = .01.

c. Calculate the χ2 test statistic.

d. Give your conclusion for this test.

Please show working.

Reference no: EM131468988

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