Question

An amateur researcher believes that the number of books owned is correlated with emotional intelligence (EQ). She randomly surveys 100 women and 100 men and finds r = .22. What does she conclude?

1. Null hypothesis:
2. Alternative hypothesis:
3. Statistical test:
4. Significance level (I'll pick it for you; alpha = .05)
5. Critical region for rejecting null hypothesis:
6. Calculate the statistic (please show your work):
7. Decision:

Answer 1

(A) The Null Hypothesis: H0: = 0

(B) The Alternative Hypothesis: Ha: 0

(C) The test of r, the correlation coefficient i.e whether any linear relationship exists between the 2 variables.

(D) = 0.05

(E) The rejection region (2 tailed) for df = n - 2 = 200 - 2 = 198

Reject H0 if t < -1.97 or if t > +1.97

(F) The Test Statistic

(G) Since t test > 1.97, we reject the null hypothesis.

There is sufficient evidence at the 0.05 level of significance to conclude that there is a linear relationship between number of books owned and emotional intelligence.