Question

Question 12 pts

The table shows data on marital and general happiness for married respondents:

	General Happiness
Marital Happiness	Not Too Happy	Happy	Very Happy
Not Too Happy	10	12	3
Happy	31	212	35
Very Happy	22	234	327

What is the​ chi-squared test statistic?Group of answer choices

228.32

9.488

192.91

206.01

Question 22 pts

Find and interpret the P value

Group of answer choices

0.1025

< 0.001

0.050

0.0254

Question 32 pts

Does this large​ chi-squared value imply there is a strong association between marital and general​ happiness?

Group of answer choices

Yes; a large chi-squared value has a small P-value, which implies a strong association

No; large chi-squared values can occur even for weak (but still significant associations)

Yes; large chi-squared values can occur even for weak (but still significant) associations

No; a small P-value implies there is a strong association; not a large chi-squared value

Question 42 pts

Find the difference in the proportion of being not too happy between those that are not too happy in their marriage and those that are happy in their marriage

Group of answer choices

0.324

0.29

0.012

0.043

Question 52 pts

Find and interpret the relative risk of being not too​ happy, comparing the not too happy and happy marital happiness group.

Group of answer choices

Those who are not too happy in their marriage are about 6 times as likely to be not too happy compared to those who are happy in their marriage

Those who are not too happy in their marriage are about 1.5 times as likely to be not too happy compared to those who are happy in their marriage

Those who are not too happy in their marriage are about 3.6 times as likely to be not too happy compared to those who are happy in their marriage

Those who are not too happy in their marriage are about 0.25 times as likely to be not too happy compared to those who are happy in their marriage

Answer 1

		Observed Frequencies:	Table
		General Happiness
Marital Happiness	Not Too Happy	Happy	Very Happy	TOTAL
Not Too Happy	10	12	3	25
Happy	31	212	35	278
Very Happy	22	234	327	583
TOTAL	63	458	365	886
E1=	RT*CT/GT =	25*63/886
		1.77765237
O=	OBSERVED FRQ
E =	EXPECTED FREQ
EXPECTED TABLE
Marital Happiness	Not Too Happy	Happy	Very Happy	TOTAL
Not Too Happy	1.77765237	12.92325056	10.29909707	25
Happy	19.76749436	143.7065463	114.5259594	278
Very Happy	41.45485327	301.3702032	240.1749436	583
TOTAL	63	458	365	886
	H0:There is no association between marital and
	general happiness for married respondents.
	H1:There is an  association between marital and
	general happiness for married respondents.
Level =	0.05
	CALCULATION TABLE
	O	E	O-E	(O-E)2/E
N N	10	1.77765237	8.22234763	38.03162062
HN	31	19.76749436	11.23250564	6.382659368
VN	22	41.45485327	-19.45485327	9.130205175
NH	12	12.92325056	-0.923250564	0.065957988
HH	212	143.7065463	68.29345372	32.45499904
VH	234	301.3702032	-67.37020316	15.06036173
NV	3	10.29909707	-7.299097065	5.172960079
HV	35	114.5259594	-79.52595937	55.22222427
VV	327	240.1749436	86.82505643	31.3879138
SUM =	886	886	0	192.9089021
Chi sq test statistics=	192.91
DF =(3-1)(3-1) =4
p value=	0.00001
Conclusion:	p value(0.00001) < 0.05
	Reject Ho
so we conclude that	There is an association between marital and general happiness for married respondents.

What is the​ chi-squared test statistic

192.91 Answer

P value

< 0.001 Answer

Question 3

Ans

Yes; a large chi-squared value has a small P-value, which implies a strong association

p1=	25/886	0.0282167
p2=	278/886	0.31376975
difference=	p2-p1	0.28555305
difference=		0.29

Question 4

0.29 Answer

Question 5

Marital Happiness	Not Too Happy	Happy	total
Not Too Happy	10	12	22
Happy	31	212	243
	RR=	(10/22)/(31/243)
	(10/22)=	0.454545455
	(31/243)=	0.127572016
	RR=	3.563049853
	RR=	3.6

Those who are not too happy in their marriage are about 3.6 times as likely to be not too happy compared to those who are happy in their marriage