Five hundred randomly selected automobile owners were questioned about the main reason they had purchased their current automobile. The results are given below.
Styling
Male
70
Engineering
130
Fuel Economy
150
Total
350
Female Styling
30
Engineering
20
Fuel Economy
100
Total
150
Total Styling
100
Engineering
150
Fuel Economy
250
Total
500
- State the null and alternative hypotheses for a contingency table test to see whether the main reason for purchase is independent of the gender of the purchaser.(2 points)
- State the decision rule for the critical value approach. Let alpha = 0.01.(2 points)
- Calculate the expected frequency for the cell “Male” and “Engineering.”(2 points)
- If the Chi Square statistic is 31.746 what is your conclusion?(2 points)
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