To see if event A and event B are independent of each other, test if P(A|B) = P(A) or if P(B|A) = P(B). If the two sides of the equation(s) are equal, then the two events are independent. That is, the occurrence of event B does not influence the probability of the occurrence of event A, or the occurrence of event A does not influence the probability of the occurrence of event B; if not equal, then not independent. That is, the occurrence of event A / event B influences the probability of the occurrence of the other event.

Suppose you have data of gender and pet ownership presented as below:

	Own a Pet	Don’t Own a Pet
Female	60	30
Male	80	40

Based on the data, prove whether gender is related to pet ownership.

Hint: We want to see if gender and pet ownership are independent of each other. Note that each of the two variables (gender and ownership) has two categories (female and male; pet and no pet). All we need to do is to pick (any) one category from each variable and test if P(A|B) = P(A). You will first need to convert the frequencies in the above table into probabilities. Refer to sections 5 and 6 in the text.

Answer rating: 100% (QA)

To decide if gender is related to pet ownership we want to checkA PB In this case Event A is ge... View the full answer