Question

In 2012, the General Social Survey asked a random sample of adults, "Compared to most people, how informed are you about politics?" Suppose that the following are the data classified by their responses to this question and their age group (the data has been modified slightly for testing purposes):

	Not at All	A Little	Somewhat	Very	Extremely
Age 20-29	9	28	28	12	0
Age 30-39	15	28	55	23	8
Age 40-49	2	26	50	26	15
Age 50 or older	21	60	120	78	24

Carry out a chi-square test. Test H0:H0: there is no relationship between age and how politically informed the person is versus Ha:Ha: there is a relationship between age and how politically informed the person is. Use α=0.01α=0.01.

χ2=

P=

pick one:

There is a relationship between age and how politically informed the person is

There is no a relationship between age and how politically informed the person is

Answer 1

Anwser:

Actual Values:
9 28 28 12 0
15 28 55 23 8
2 26 50 26 15
50 21 60 120 0

Warning: Actual Value less than 5.
Results not reliable.

Expected Values:
10.1597 13.7691 25.8004 24.1962 3.07465
17.0208 23.0677 43.224 40.5365 5.15104
15.7014 21.2795 39.8733 37.3941 4.75174
33.1181 44.8837 84.1024 78.8733 10.0226

Chi-Squared Values:
0.132381 14.7082 0.187535 6.14753 3.07465
0.239928 1.05461 3.20829 7.58644 1.57571
11.9561 1.04716 2.57192 3.47182 22.1029
8.60558 12.7091 6.90738 21.4446 10.0226

Chi-Square

χ2= 138.754

Degrees of Freedom = 12

p = 0

fail to reject Ho

There is a relationship between age and how politically informed the person is independent