:= Question Help Use the contingency table to the right to calculate the margina

Question

:= Question Help Use the contingency table to the right to calculate the marginal frequencies and find the expected frequency Gender for each cell in the contingency table. Assume that the Male variables are independent Type of car Compact Full-size SUV Van 15 16 59 28 Female 20 (a) Calculate the marginal frequencies and sample size Type of car Gender Male Female Total SUV 16 59 Compact 15 Full-size Total 28 14. 20 (b) Find the expected frequency for each cell in the contingency table Type of car Van Gender Male Female Compact Full-size SUV (Round to two decimal places as needed.)

Explanation / Answer

The total values in the last column are computed by summing up the corresponding rows and the sum in the last row is computed by summing up the corresponding columns. Therefore we get the filled totals table here as:

These are the required values here.

b) The expected value in each of the above 8 calls are computed as:

Expected value = (Sum of that column *Sum of that row ) / 196

This is done for each of the above cell. This is computed here as:

Compact Full Size SUV Van Total Male 15 28 16 22 81 Female 22 14 59 20 115 Total 37 42 75 42 196

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