Chapter 11.4, Problem 9E

To determine

To find and interpret the marginal frequencies.

Answer to Problem 9E

The number of males is 232.

The number of females is 196.

The number of people who have set academic goals are 118.

The number of people who have not set academic goals are 310.

Explanation of Solution

Given information:

The two-way table regarding the males and females and whether they have set academic goals or not.

Two-way tables are frequency tables that depict data of two categories, but are gathered from the same source. The entries in a two table are such that they represent data of the rows as well as the columns.

On analyzing the two-way table, use marginal frequency to find the number of males by summing up the joint frequencies in that row.

  $64+168=232$

Males.

On analyzing the two-way table, use marginal frequency to find the number of females by summing up the joint frequencies in that row.

  $54+142=196$

Females.

On analyzing the two-way table, use marginal frequency to find the number of people who have said to yes to setting academic goals column.

  $64+54=118$

People.

On analyzing the two-way table, use marginal frequency to find the number of people who have said to no to setting academic goals column.

  $168+142=310$

People.