Chapter 1.1, Problem 26E

To determine

To find:Is the data support the study’s conclusion about the relationship between anger and heart disease.

Answer to Problem 26E

Yes, the data support the study’s conclusion about the relationship between anger and heart disease.

Explanation of Solution

Given:

	Low anger	Moderate anger	High anger	Total
CHD	53	110	27	190
No CHD	3057	4621	606	8284
Total	3110	4731	633	8474

Calculation:

Conditional distribution of people with no CHD to anger intensity is below.

Conditional distribution of people with No CHD ad anger intensity
Anger intensity	No CHD	percentage
Low anger	3057	$\frac{3057}{8284}\times 100$	36.90
Moderate anger	4621	$\frac{4621}{8284}\times 100$	55.78
High anger	606	$\frac{606}{8284}\times 100$	7.31
total	8284	$\frac{8284}{8284}\times 100$	100

The comparative table of conditional distribution is below:

Conditional distribution of people with CHD or No CHD ad anger intensity
Anger intensity	CHD	No CHD	percentage
Low anger	$\frac{53}{190}\times 100$	27.89	$\frac{3057}{8284}\times 100$	36.90
Moderate anger	$\frac{110}{190}\times 100$	57.89	$\frac{4621}{8284}\times 100$	55.78
High anger	$\frac{27}{190}\times 100$	14.21	$\frac{606}{8284}\times 100$	7.31
total	$\frac{190}{190}\times 100$	100	$\frac{8284}{8284}\times 100$	100

We will make a side-by-side bar graph to for CHD and No CHD to anger intensity.

  

Around 37% of people who have low anger do not have CHD which is more than those who have CHD (27.89% vs 36.90%). There is no difference in percentage of people with moderate anger (57.89% vs 55.78%). But around 14% of people with high anger have CHD which is almost double the people who do not have CHD (14.21% vs 7.32%).

Conclusion:Therefore,the data support the study’s conclusion about the relationship between anger and heart disease.