QUESTION IMAGE
Question
a group of adults were surveyed regarding their favorite weekend activity. the results are shown in the two - way relative frequency table below.
favorite weekend activities
| reading | shopping | working out | watching tv | total | |
|---|---|---|---|---|---|
| female | 0.07 | 0.11 | 0.15 | 0.16 | 0.49 |
| total | 0.2 | 0.18 | 0.3 | 0.32 | 1 |
what percentage of adults who chose watching television as their favorite weekend activity are males?
a. 84%
b. 16%
c. 31.37%
d. 50%
Step1: Identify relevant values
From the table, relative frequency of males who watch TV is $0.16$, total relative frequency of adults who watch TV is $0.32$.
Step2: Calculate the percentage
Divide male TV frequency by total TV frequency, multiply by 100.
$\text{Percentage} = \frac{0.16}{0.32} \times 100\%$
Step3: Simplify the expression
$\frac{0.16}{0.32} = 0.5$, so $0.5 \times 100\% = 50\%$
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D. 50%