Question

3) Consider the following hypothetical data which explores whether educational attainment influences divorce.

	Highest Degree
Ever Been Divorced	<High School	High School	Junior College	Bachelors Degree	Graduate Degree
Yes	107	362	55	89	52
No	285	867	149	374	195

3a) State your null and alternative hypotheses.

3b) Use the data above to construct a bivariate table by hand with cells containing the appropriate percentages for each cell.

3c) Using the method of comparing percentage differences, what can you conclude about these data?

Answer 1

3a) H0: The educational attainment is not influences divorce
H1: The educational attainment is influences divorce
Let the los be alpha = 5%

3b)  

The expected frequencies are

Ever Been Divorced	< High	High	Junior	Bachelors	Graduate	Total
Yes	102.832	322.4	53.515	121.4576	64.79487	664.9995
No	289.168	906.6	150.485	341.5424	182.2051	1870.001
Total	392	1229	204	463	247	2535

3c) The chisquare contribution values are

Oi	Ei	(Oi-Ei)^2 /Ei
107	102.832	0.1689
362	322.4	4.864
55	53.515	0.0412
89	121.4576	8.6738
52	64.79487	2.5266
285	289.168	0.0601
867	906.6	1.7297
149	150.485	0.0147
374	341.5424	3.0845
195	182.2051	0.8985
	Total:	22.062

Degrees of freedom: 4

Test Statistic, X^2: 22.0618
Critical X^2: 9.48772
P-Value: 0.0002

Here Chisquare value > Chisquare critical value and P-value < alpha 0.05 so we reject H0

Thus we conclude that  the educational attainment is influences divorce