1. A marketing research company surveyed the age and marital status of 140 custo

Question

1. A marketing research company surveyed the age and marital status of 140 customers of a

beach nightclub. The result of the survey is summarized in the following frequency table:

Age

Single

Married

Under 30

77

14

Over 30

28

21

Given this table, we can conclude that age and marital status of the surveyed customers are independent. This conclusion is true or false? [Hint: you may find P(under 30) and P(under 30 | single) and conclude based on yours results.]

Age

Single

Married

Under 30

77

14

Over 30

28

21

Explanation / Answer

Following table shows the row total and column total:

Out of 140 persons, 77 are under 30 so

P(under 30) = 77 / 140 = 11 /20 =0.55

Out of 105 single persons, 77 are under 30 so

P(under 30 | single) = 77 / 105 = 0.73

Since P(under 30 | single) is not equal to P(under 30) so age and marital status of the surveyed customers are independent.

Age Single Married Total Under 30 77 14 91 Over 30 28 21 49 Total 105 35 140

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