Question

the table below shows the conditional relative frequencies of a set of data comparing gender and whether an academic scholarship was earned. which conclusion can be drawn from the table? an association cannot be determined because 0.47 is close to 0.52. there is an association between gender and scholarship earned because each row adds to 1. an association cannot be determined because 0.47 is close to 0.53. there is an association between gender and scholarship earned because each column total is the average of the values in the column.

	scholar - ship	no scholar - ship	total
female	0.52	0.48	1
total	0.495	0.505	1

Explanation:

Step1: Understand association concept

In conditional - relative frequency tables, if the conditional relative frequencies for one variable are different for different categories of the other variable, there is an association. Here, we look at the conditional relative frequencies of earning a scholarship for males (0.47) and females (0.52).

Step2: Analyze the given values

The values 0.47 and 0.52 are relatively close. When the conditional relative frequencies are close, it is difficult to determine a strong association.

Answer:

An association cannot be determined because 0.47 is close to 0.52.