A market researcher for an automobile company suspects differences in preferred

Question

A market researcher for an automobile company suspects differences in preferred color between male and female buyers. The researcher examined the most recent sales information of a particular car that comes in three colors. The observed frequencies are shown below: Male Female Total Silver 470 280 750 Black 535 285 820 Red 495 350 845 Total 100915 2415 In order to perform a chi-square test for the independence between gender and color choice the expected frequency table was constructed: Expected Frequencies Male Female Silver 465.8 284.2 Black??? 310.7 Red 5248 320.2 What value is the missing expected frequency? Round your answer to 1 decimal place.

Explanation / Answer

The expected frequency for each cell is computed as:

Ei = (Rowi Sum ) (Columni Sum ) / Total

Therefore, for missing cell, the expected value is computed as:

= (820*1500) / 2415

= 509.3

Therefore 509.3 is the required expected value missing here.

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