Question

The data from a survey on the academic degrees earned by students in the United States in 2009 is shown below.

Degree

Male
(in thousands)

Female
(in thousands)

Marginal
Totals


Associate
298 489 787

Bachelor
685 916 1,601

Master
260 397 657

Professional
47 45 92

Doctorate
32 35 67

Marginal
Totals
1,322 1,882 3,204


What is the relative frequency of male students earning an associate’s degree among all the males earning any degree in 2009?





0.09




0.23




0.38




0.44

Answer 1

0.23

Explanation:

You are given the table

`\begin{array}{cccc}\text{Degree}&\text{Male}&\text{Female}&\text{Total}\\\text{Associate}&298&489&787\\\text{Bachelor}&685&916&1,601\\\text{Master}&260&397&657\\\text{Professional}&47&45&92\\\text{Doctorate}&32&35&67\\\text{Total}&1,322&1,882&3,204\end{array}`

Form this table

Number of associate male students = 298

Total number of male students = 1,322

Relative frequency of male students earning an associate’s degree among all the males earning any degree
`=(298)/(1,322)\approx 0.23`