The contingency table shows the results of a random sample of individuals by gender and type of vehicle owned. At \(\alpha=0.01\), can you conclude that gender is related to the type of vehicle owned?

(a) find the expected frequency for each cell in the contingency table,

(b) identify the claim and state \(H_{0}\) and \(H_{a}\),

(c) determine the degrees of freedom, find the critical value, and identify the rejection region,

(d) find the chi-square test statistic,

(e) decide whether to reject or fail to reject the null hypothesis, 

(f)) interpret the decision in the context of the original claim.

Transcribed Image Text:

Type of vehicle owned Gender Car Truck SUV Van Male 85 95 44 00 8 Female 110 73 61 4