Chapter 10.6, Problem 5AGP

To determine

To explain is there association between having flowerbeds and participating in the community events.

Answer to Problem 5AGP

yes.

Explanation of Solution

Given information:

Two way frequency table

  

A two way table is a way to display frequencies or relative frequencies for two categorical variables.

One category is represented by rows and a second category is represented by columns.

The entries in the table are counts; this type of table is called a two way frequency table. The table has several features:

• Categories are labeled in the left column and top row.
• The counts are placed in the center of the table.
• Totals appear at the end of each row and column.
• A sum of all counts (a grand total) is placed at the bottom right.
• The totals in the right column and bottom row are called marginal distributions (excluding the grand total).
• The entries in the center of the table (everything except the marginal distributions) are called joint frequencies.

An "association" exists between two categorical variables if the row (or column) conditional relative frequencies are different for the rows (or columns) of the table.The bigger the differences in the conditional relative frequencies, the stronger the association between the variables. In given table there is association between flowerbeds and participating because conditiona relative frequencies are different.