Question

Imagine a researcher conducted a study using survey/correlation methods. She asked people complete the Happiness Scale and she asked how often they go on vacation. Then she correlated happiness and vacation frequency to see if there was a relationship. Finally, she divided people into four groups based on their income and examined the relationships separately.

Poor folks           Moderate income folks                Rich folks           Filthy Rich folks

r(34) = .62                          r(36) = .59                          r(24) = .44          r(20) = .30

4)Which of the following would support your above conclusion?

r(36) = .59, p = .06

r(36) = .59, p = .08

r(36) = .59, p = .05

r(36) = .59, p = .16

5)Below are the actual data for moderate income folks. Given the data write an APA style sentence.

r = .56

df = 32

p < .001

Answer 1

4)

When P-value is less or equal to significance level which we usually take = 0.05 we reject the null hypothesis. I suppose you didn't include the conclusion here. Whatever it may be. Only at p= 0.05, we can reject the null hypothesis. So

r(36)=0.59,p=0.05 is correct option.

5)

We have actual data where r=0.56, df=32 and p-value=0.001 <<0.05.

Using the P-value approach: The p-value is p = 0.001 and since p = 0.001<<0.05, it is concluded that the null hypothesis is rejected.

Conclusion

It is concluded that the null hypothesis Ho is rejected. Therefore, there is enough evidence to claim that there is a relationship between the  Happiness Scale and how often they go on vacation, at the 0.05 significance level.