Question

paint color preference

	children	adults	total
disliked new paint color	0.4	0.15	0.23
total	1.0	1.0	1.0

which value for x completes the conditional relative frequency table by column? 0.17 0.25 0.40 0.85

Explanation:

Step1: Recall column - total property

In a conditional relative - frequency table by column, the sum of the conditional relative frequencies in each column is 1.

Step2: Set up the equation for the 'Adults' column

For the 'Adults' column, if the proportion of adults who disliked the new paint color is 0.15 and the proportion of adults who liked the new paint color is \(x\), then \(x + 0.15=1\).

Step3: Solve for \(x\)

Subtract 0.15 from both sides of the equation: \(x=1 - 0.15\).
\(x = 0.85\)

Answer:

0.85