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the two - way table represents data from a survey asking schoolchildren…

Question

the two - way table represents data from a survey asking schoolchildren whether they are attending a summer camp, taking swimming lessons, or both. summer plans

swimming lessonsno swimming lessonstotal
no camp32436
total742296

which is the joint relative frequency for school children who plan to attend camp and have swimming lessons? round the answer to the nearest percent.

Explanation:

Step1: Recall joint - relative frequency formula

Joint relative frequency = $\frac{\text{Frequency of the joint category}}{\text{Total frequency}}$

Step2: Identify relevant frequencies

The frequency of school children who plan to attend camp and have swimming lessons is 42. The total frequency of all children surveyed is 96.

Step3: Calculate joint - relative frequency

Joint relative frequency = $\frac{42}{96}= 0.4375$

Step4: Convert to percentage and round

$0.4375\times100 = 43.75\%$. Rounding to the nearest percent gives 44%.

Answer:

44%