Question

It is well known that similarity in attitudes, beliefs, and interests play an important role in interpersonal attraction. Thus, correlations between married couples should be strong. Suppose a researcher developed a questionnaire that measures how liberal or conservative one's attitudes are. Low scores indicate the person has liberal attitudes, whereas high scores indicate conservatism. The following hypothetical data are scores for married couples: SS_wife = 196, SS_husband = 208, SP = -164.

Couple	Wife	Husband
A	1	14
B	14	2
C	4	11
D	6	12
E	13	1
F	1	11
G	8	15
H	1	14

a) What is the Pearson correlation?  (2 points)

b) What is the critical value of r (α = .05)? (1 point)

c) What is your decision?  (0.5 points)

d) Interpret the results. (1 point)

e) What is r²?  (0.5 points)

Answer 1

a)

b)

Hypotheses are:

Using critical value table, the critical value of r for alpha= 0.05 is 0.632.

c)

Since |r | > 0.632 so we reject the null hypothesis.

d)

There is a significant relationship between the variables.

That is relationship between the variables is significant. Since r is negative so relationship betwen the variables is negative.

e)

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