Question

I need help with questions 8I’m a survey, customers selected item A or item B. Item A is selected by 20 males and 10 females. Of 20 customers who select item B, Five are males and 15 are females”

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Create a relative frequency table

STEP 2: Calculate the relative frequencies for the two items

The relative frequency is gotten by dividing the columns by the total which is 50. this is done for both item A and item B and can be done as seen below:

`\begin{gathered} item\text{ A} \\ relative\text{ frequency}=(30)/(50)=(3)/(5)=(3)/(5)*100=60\% \\ \\ item\text{ B} \\ relative\text{ frequency}=(20)/(50)=(2)/(5)=(2)/(5)*100=40\% \end{gathered}`

To get the relative frequency for item B, we do as seen below:

Using the table in Step 1,

Number of males who buys item B is 5

Number of female who buys item B is 15

Total customer for item B is 5+15=20

`\begin{gathered} For\text{ male:} \\ (5)/(20)*100=25\% \\ For\text{ female} \\ (15)/(20)*100=75\% \end{gathered}`

Since the female has a higher relative frequency than the male, therefore it is reasonable to conclude that a customer who prefers item B is more likely to be a female than a male.