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.

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