Question

Arguments around the legality and morality of medically assisted suicide have come to light within the last 2 decades. Opponents of such legislation state that its passing would unfairly promote an ideology that dictates one’s life-worth is based on how much of a burden they become to others. Proponents of such legislation claim that it is an individual’s right to decide when to end their own life. A medical sociologist suggests that one’s state impacts their support for such legislation. The sociologist surveys groups of 3 people from four different states to determine support for legislation based on a scale of 1 to 5 where 1 represents no support and 5 represents complete support.---ANOVA method---

California	Oregon	Montana	Missouri
3	5	2	1
5	4	2	3
1	4	4	2

Answer 1

H0: Null Hypothesis: ( One’s state does not impact their support for such legislation. )

HA: Alternative Hypothesis: ( One’s state impacts their support for such legislation. ) (Claim)

From the given data, ANOVA Table is calculated as follows:

Source of Variation	Degrees of Freedom	Sum of Squares	Mean Square	F - Stat	P - Value
Between Groups	3	8.6667	8.6667/3=2.8889	2.8889/1.6667=1.7333	0.2373
Within Groups	8	13.3333	13.3333/8=1.6667
Total	11	22

The entries in the above ANOVA Table are calculated as follows:

From the given data, the following Table iscalculated:

	California	Oregon	Montana	Missouri
n	3	3	3	3
Sum	9	13	8	6
Mean	3	4.3333	2.6667	2
	35	57	24	14
Std. Dev.	2	0.577	1.155	1
SS	8	0.6667	2.6667	2

Test Statistic F is given by:

F = 2.8888/1.6667=1.7333

By Technology,

p - value = 0.2373

Since p - value = 0.2373 is greater than = 0.05, the difference is not significant. Fail to reject null hypothesis.

Conclusion:
The data do not support the claim that one’s state impacts their support for such legislation.