[Steps Shown] Use the given contingency table to (a) find the expected frequencies of each cell in the table, (b) perform a chi-square test for independence,
Question: Use the given contingency table to (a) find the expected frequencies of each cell in the table, (b) perform a chi-square test for independence, and (c) comment on the relationship between the two variables. Assume the variables are independent.
The contingency table shows the results of a random sample of 500 individuals classified by gender and type of vehicle owned. Use \(a=0.01\).
| Car | Truck | SUV | Van | |
| Male | 90 | 100 | 50 | 7 |
| Female | 110 | 75 | 65 | 3 |
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