Question

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 below.

Matte Satin Glossy Total
Homeowners 0.08 0.20 0.24 0.52
Contractors 0.04 0.26 0.18 0.48
Total 0.12 0.46 0.42 1

Approximately what percentage of contractors prefer the glossy finish?

A.
34.6%
B.
46.1%
C.
37.5%
D.
42.9%

Answer 1

Solution:

                       Matte Satin    Glossy Total

Homeowners 0.08 0.20 0.24 0.52

Contractors 0.04 0.26 0.18         0.48

Total         0.12         0.46 0.42   1

Approximately what percentage of contractors prefer the glossy finish?

Answer: Percentage of contractors who prefer the glossy finish is:

$\frac{0.18}{0.48}=0.375$ or $37.5\%$

Therefore, the option D. 37.5% is correct

Answer 2

Answer:

C.   37.5%

Step-by-step explanation:

From the table, we know that the relative frequency of Contractors that prefer Glossy finish is 0.18, and the frequency of Contractors is 0.48. Therefore, contractors who prefer the glossy finish represent 0.18/0.48 = 0.375 or 0.375*100 = 37.5% of the total people surveyed.