hypothesis of independence test

[olivia123456]

• The General Social Survey conducted a poll of 668 adults in which the subjects were asked whether they agree that the government should prohibit smoking in public places. In addition, each was asked how many people lived in his or her household. The results are summarized in the following contingency table.

Test the hypothesis of independence. Use the α = 0.01 level of significance. 

• State the null and alternate hypotheses.
• Report the test statistic and the p-value

	Household Size
	1	2	3	4	5
Agree	73	109	48	37	37
No Opinion	31	52	29	20	18
Disagree	42	71	38	40	23

I don't know what I did wrong, am I perhaps using the wrong type of test?

[olivia123456]

2.1

Ho: The results are independent

Ha: The results are dependent

2.2

data household;

      input familysize agree no_opinion disagree;

cards;

1 73  31 42

2 109 52 71

3 48 29  38

4 37 20  40

5 37 18  23

run;

proc print data=household;

run;

proc freq data=household;

      weight familysize;

      tables agree/chisq;

run;