paint color preference\n| | children | adults | total |\n|--|--|--|--|\n| liked new paint color | 0.6 | x |…

paint color preference\n| | children | adults | total |\n|--|--|--|--|\n| liked new paint color | 0.6 | x | 0.77 |\n| disliked new paint color | 0.4 | 0.15 | 0.23 |\n| total | 1.0 | 1.0 | 1.0 |\nwhich value for x completes the conditional relative frequency table by column?\n0.17\n0.25\n0.40\n0.85

paint color preference\n| | children | adults | total |\n|--|--|--|--|\n| liked new paint color | 0.6 | x | 0.77 |\n| disliked new paint color | 0.4 | 0.15 | 0.23 |\n| total | 1.0 | 1.0 | 1.0 |\nwhich value for x completes the conditional relative frequency table by column?\n0.17\n0.25\n0.40\n0.85

Answer

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