Question

A survey was done to determine the relationship between gender and subject preference. A total of

56 students were surveyed to determine if they liked math, English, social studies, or science as their

favorite subject. The results were then broken down based on whether the respondent was male or

female.

Answer 1

The question is incomplete. The complete question is :

A survey was done to determine the relationship between gender and subject preference. A total of 56 students were surveyed to determine if they liked math, English, social studies, or science as their favorite subject. The results were then broken down based on whether the respondent was male or female.

Which of the following is the closest to the joint relative frequency of being a male who likes social studies ?

Solution :

A two way table used in statistics and mathematics is used to show the frequencies or the relative frequencies for any two categorical variables. One of the category is represented by the rows while the other categories by a column.

Here, in this table it is given that the total surveyed = 56 students

From the table, we know that number of males who likes social studies = 8

Therefore, the closest to the joint relative frequency for being a male who likes the subject social studies is given by :

`$=(8)/(56)$`

`$=(1)/(7)$`

=0.14