A group of large and small dog owners are surveyed about whether they feed their dogs dry or wet dog food. Below is a two-way table that shows the joint and marginal relative frequencies for the survey results.
Answers
Given : A group of large and small dog owners are surveyed about whether they feed their dogs dry or wet dog food . Two way Table shows the joint and marginal relative frequencies for the survey results.
To find : Missing value in the table below showing the conditional relative frequencies based on the row totals.
Solution:
Two way table data attached
Dry Dog Food Wet Dog Food Total
Large Dog Owner 0.355 0.169 0.525
Small Dog Owner 0.131 0.344 0.475
Total 0.486 0.514 1
Large Dog Owner Dry Dog Food = (0.355)/(0.525) = 0.676
Large Dog Owner Wet Dog Food = (0.169)/(0.525) = 0.322
Small Dog Owner Dry Dog Food = (0.131)/(0.475) = 0.276
Large Dog Owner Wet Dog Food = (0.344)/(0.475) = 0.724
Dry Dog Food Wet Dog Food
Large Dog Owner 0.676 0.322
Small Dog Owner 0.276 0.724
Option C - 0.676 is the missing conditional relative frequencies based on the row totals.
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