A hardware store owner is replenishing his stock of base paint for an upcoming home improvement sale. He conducted a survey to determine which paint finish customers prefer on living room walls. The owner asked both homeowners and professional building contractors. The results of the survey are shown in the two-way relative frequency table.
Matte Satin Glossy Total
Homeowners 4 10 12 26
Contractors 2 13 9 24
Total 6 23 21 50
Approximately what percentage of contractors prefer the glossy finish?
To determine the percentage of contractors who prefer the glossy finish, we need to calculate the relative frequency of contractors who chose the glossy finish and multiply it by 100.
The relative frequency of contractors who chose the glossy finish is given by the following calculation: (Number of contractors who chose glossy finish)/(Total number of contractors)
Therefore, the relative frequency of contractors who chose the glossy finish is 9/24 = 0.375.
To find the percentage, we multiply the relative frequency by 100: 0.375 * 100 = 37.5%.
Approximately 37.5% of contractors prefer the glossy finish.