You are the sales manager of the FloorMart Department store. You are interested

Question

You are the sales manager of the FloorMart Department store. You are interested in knowing who will respond to a new end-of-season sales for men’s and women’s clothing and if there is a relationship between the gender and age of the customers. You take a random sample of 100 customers and record the age and gender of the respondents (info found below in the table).

AGE                                                                GENDER

                                                Male                                       Female

Less than 20                         20                                            30

20 or more                             30                                            20

At the 5% level of significance, test to see if age and gender are independent.

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: Age
Columns: None

Chi-Square test:

Since p - value is less than 0.05, we reject Ho and hence,

We have sufficient evidence to conclude that age and gender are not independent.

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