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(05.05 mc) using the two-way table, what percentage of the students tha…

Question

(05.05 mc)
using the two-way table, what percentage of the students that do not like to travel out of state like camping? round to the nearest whole percent.
likes traveling out of state | does not like traveling out of state | row totals
likes camping | 52 | 38 | 90
does not like camping | 36 | 74 | 110
column totals | 88 | 112 | 200
32%
34%
38%
42%

Explanation:

Step1: Identify relevant values

We need students who do not like traveling out of state (column total = 112) and of those, who like camping (38).

Step2: Calculate the percentage

Divide the number of students who don't like out-of-state travel but like camping by the total number of students who don't like out-of-state travel, then multiply by 100.
$\text{Percentage} = \frac{38}{112} \times 100$

Step3: Compute and round

$\frac{38}{112} \times 100 \approx 33.93\%$, rounded to the nearest whole percent is 34%.

Answer:

34%