:= 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 here are computed by adding the corresponding columns and rows to obtain:

The expected value for each cell is computed as:

Ei = ( That column Sum * Row Sum ) / Total frequency

Note that total frequency here is 196

Therefore the expected values here are obtained 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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