Question

A survey asks questions about​ one's happiness and health. One would think that health plays a role in​ one's happiness. Use the data in the accompanying table to determine whether healthier people tend to also be happier. Treat level of health as the explanatory variable.

	Poor	Fair	Good	Excellent
Not too happy	696	1,386	1,629	732
Pretty happy	940	3,817	9,642	5,195
Very happy	350	1,382	4,520	5,095

Create a conditional distribution for the data. (Round to three decimal places as​ needed.)

Draw a bar graph of the found conditional distribution.

Answer 1

ANSWER:

Given that,

Here the below contingency table:

Level of Health
Level of Happiness	Poor	Fair	Good	Excellent
Not too happy	696	1376	1629	732
Pretty happy	940	3817	9642	5195
Very happy	345	1382	4520	5095
Total	1981	6575	15791	11022

For  conditional distribution for the data with level of health as the explanatory variable ; we need to divide each cell with column total. therefore below is conditional distribution:

Level of Happiness	Poor	Fair	Good	Excellent
Not too happy	0.351	0.209	0.103	0.066
Pretty happy	0.475	0.581	0.611	0.471
Very happy	0.174	0.210	0.286	0.462
Total	1	1	1	1

revert for any clarification requried.