Chapter 7.4, Problem 12E

To determine

To find:

Themarginal frequencies of the given two-way table.

Answer to Problem 12E

  $90$ college-bound high school seniors are planning to receive a master’s degree.

Explanation of Solution

Given:

Each entry in a two −way table

Concept used:

Bivariate joint frequency distribution are contingency table.

The total row and total column of the marginal distribution while the body of the table is the joint frequencies

Calculation:

Draw the table

	Associate’s	Bachelor’s	Master’s	Total
Male	$58$	$126$	$42$	$226$
Female	$62$	$118$	$48$	$228$
Total	$120$	$244$	$90$	$454$

The total row and total column of the marginal distribution while the body of the table is the joint frequencies

Each entry in a two-way table is called a joint frequency

From the table

Total $226$ male college-bound high school seniors are planning to receive a degree

  $228$ male college-bound high school seniors are planning to receive a degree

  $454$ college-bound high school seniors were surveyed

  $120$ college-bound high school seniors are planning to receive an associate’s degree.

  $244$ college-bound high school seniors are planning to receive a bachelor’s degree.

  $90$ college-bound high school seniors are planning to receive a master’s degree.