Question

A group of students was asked to pick a favorite primary color. The results are shown in the table.

Red Green Blue Total Male 12 24 4 40 Female 15 30 5 50 Total 27 54 9 90
Question
Which statement correctly explains the association between being male and favoring the color blue?
Answer options with 5 options
A.
There is a negative association because the number of males who responded to the survey is less than the number of females.
B.
There is a negative association because the number of males who chose blue is less than the number of females who chose blue.
C.
There is a negative association because the number of males who chose blue is the smaller than the number of males who chose the other colors.
D.
There is no association because the percent of males who chose blue is equal to the percent of females that chose blue.
E.
There is no association because the percent of individuals who are male and chose blue is not equal to the percent of individuals who are female and chose blue.

Answer 1

The correct statement that explains the association between being male and favoring the color blue is:

B. There is a negative association because the number of males who chose blue is less than the number of females who chose blue.

In the given table, it can be observed that out of the total 90 students surveyed, 9 students (4 males and 5 females) decided the color blue as their favorite primary color. Since the number of males (4) who selected blue is less than the number of females (5) who chose blue, there is a negative association between being male and favoring the color blue.