mike is a ranger at oxbow lake state park. he asked some visitors entering the park whether they were…

Explanation:

Step1: Find number of under - 35 hikers

Since total hikers are 53 and 30 of them are 35 or over, the number of under - 35 hikers is $53 - 30=23$.

Step2: Find total number of under - 35 visitors

The number of under - 35 visitors who do not plan to hike is 9. So the total number of under - 35 visitors is $23 + 9=32$.

Step3: Find number of 35 or over non - hikers

Since total non - hikers are 30 and 9 of them are under 35, the number of 35 or over non - hikers is $30 - 9 = 21$.

Step4: Find total number of 35 or over visitors

The number of 35 or over hikers is 30 and non - hikers is 21. So the total number of 35 or over visitors is $30+21 = 51$.

Step5: Calculate percentage of under - 35 hikers

The percentage of under - 35 visitors who plan to go hiking is $\frac{23}{32}\times100=\frac{2300}{32}=71.875\approx71.9%$.

Answer:

Plan to go hiking	Do not plan to go hiking	Total
23	9	32
30	21	51
53	30	83
71.9%