Question

Peter works at a sports store. On a particular day, he surveyed a random sample of 50 customers and observed that 30 customers liked to play tennis and 15 customers liked to play basketball.Which of the statements are likely true? Select all that are true.A. 30% of the equipment in the store should be related to basketball.B. 60% of the equipment in the store should be related to tennis.C. 30% of the sales at the sports store that day were related to basketball.D. 70% of the sales at the sports store that day were related to basketball.E. 40% of the sales at the sports store that day were related to tennis equipment. F. 60% of the sales at the sports store that day were related to tennis equipment.

Answer 1

Given data:

Total sample = 50

customers that liked tennis = 30

customers that liked basketball = 15

To select the answers that are true, we can check all the options

Step 1: Find the percentage of those who like tennis and basketball

`\begin{gathered} \text{ The percentage of customers that like tennis is given by} \\ (30)/(50)\text{ x 100\% = 60\%} \end{gathered}`
`\begin{gathered} \text{The percentage of customers that like basketball is given by} \\ (15)/(50)\text{ x 100\% = 30\%} \end{gathered}`

Option A

Since 30% like basketball, then it will be reasonable to have 30% of the equipment related to basketball.

OptionB

Since 60% like tennis, then it will be reasonable to have 60% of the equipment related to tennis

Option C

Since 30% like basketball, then 30% of the sales is likely to be related to basketball

Option D

Since 30% like basketball, then IT IS NOT LIKELY to have 70% of the sales related to basketball.

Option E

Since 60% like tennis, then IT IS NOT LIKELY to have 40% of the sales related to tennis

Option F

Since 60% like tennis, then IT IS LIKELY to have 60% of the sales related to tennis

Hence, we select options

A, B, C, and F as True