which value for x completes the conditional relative frequency table by column? paint color preference…

which value for x completes the conditional relative frequency table by column? paint color preference children adults total liked new paint color 0.6 x 0.77 disliked new paint color 0.4 0.15 0.23 total 1.0 1.0 1.0 0.17 0.25 0.40 0.85

which value for x completes the conditional relative frequency table by column? paint color preference children adults total liked new paint color 0.6 x 0.77 disliked new paint color 0.4 0.15 0.23 total 1.0 1.0 1.0 0.17 0.25 0.40 0.85

Answer

Explanation:

Step1: Recall the concept of column - total in conditional relative frequency table

In a conditional relative frequency table by column, the sum of the relative frequencies in each column is 1. For the "Adults" column, the sum of the relative frequencies of those who liked the new paint color and those who disliked it should be 1.

Step2: Set up the equation

Let the relative frequency of adults who liked the new paint color be (x). We know that the relative frequency of adults who disliked the new paint color is 0.15. So, (x + 0.15=1).

Step3: Solve the equation for (x)

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

Answer:

0.85