Chapter 11.2, Problem 44E

To determine

To perform hypothesis testing.

Answer to Problem 44E

There is no convincing evidence that there is an association between education level and opinion.

Explanation of Solution

Given:

		Education
		Less than HS	HS grad	Some college	College grad	Postgrad degree
Opinion about handgun ban	Yes	58	84	169	98	77
	No	58	129	294	135	99

The null and alternative hypotheses:

  $H_0$ : There is no association between education level and opinion.

  $H_a$ : There is association between education level and opinion.

Using excel,

		Less than HS	HS grad	Some college	College grad	Postgrad degree	Total
Yes	Observed	58	84	169	98	77	486
	Expected	46.94	86.19	187.36	94.29	71.22	486.00
	(O - E)² / E	2.61	0.06	1.80	0.15	0.47	5.08
No	Observed	58	129	294	135	99	715
	Expected	69.06	126.81	275.64	138.71	104.78	715.00
	(O - E)² / E	1.77	0.04	1.22	0.10	0.32	3.45
Total	Observed	116	213	463	233	176	1201
	Expected	116.00	213.00	463.00	233.00	176.00	1201.00
	(O - E)² / E	4.38	0.09	3.02	0.25	0.79	8.53
		8.53	chi-square
		4	df
		.0741	p-value

Chi-square test statistic = 8.53. The degrees of freedom = 4 and p-value = 0.0741.

Decision: P-value > 0.05, fail to reject H0.

Conclusion: There is no convincing evidence that there is an association between education level and opinion.