Question

in a survey at a shoe store, 200 customers were asked whether they have running shoes or basketball shoes. the results are in the relative frequency table. what percentage of the people surveyed have basketball shoes? a. 46% b. 54% c. 63% d. 37%

Explanation:

Step1: Calculate the total relative frequency of having basketball shoes

The relative frequency of having basketball shoes is the sum of the relative frequencies of having basketball shoes and running shoes (\(0.23\)) and having basketball shoes and no running shoes (\(0.31\)).
$$0.23 + 0.31$$

Step2: Perform the addition

$$0.23+0.31 = 0.54$$

Step3: Convert the relative frequency to a percentage

To convert a decimal to a percentage, multiply by \(100\).
$$0.54\times100 = 54\%$$

Answer:

B. \(54\%\)