Question

2. Is there a relationship between marital status and happiness? The data in the table show the marital status and happiness of individuals who participated in the General Social Survey. Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 level of significance. Round E values to two decimal places. Answer the problems 2a through 2e. Marital Status Not Happiness Married married NO Very happy 500 290 Pretty happy 800 150 Not too happy 95 500 2a) Write the null hypothesis.

Answer 1

Answer:

To test;

Ho:There is no relationship between marital status and happiness.

H1:There is relationship between marital status and happiness.

use $\alpha =0.01$

	Marital status
Happiness	married	not married	Total
very happy	500	290	790
pretty happy	800	150	950
not too happy	95	500	595
total	1395	940	2335
	Marital status
Happiness	married	not married	Total
very happy	471.9700214	318.029979	790
pretty happy	567.5588865	382.441113	950
not too happy	355.4710921	239.528908	595
total	1395	940	2335
	Marital status
Happiness	married	not married	Total
very happy	1.664681365	2.47045798	4.135139
pretty happy	95.19518155	141.2737	236.4689
not too happy	190.8599358	283.244266	474.1042
total	287.7197987	426.988425	714.7082
# Test statistic=	714.7082
# P value=	6.3545E-156

Where p value < 0.01

we reject Ho.

Conclusio: There is relationship between marital status and happiness.