Assume you are an art therapist studying a technique (throwing paint at a canvas) you think will increase peoples' positive mood. You randomly select 10 of your clients and ask them to throw paint for a certain number of minutes (between 1 and 10 minutes). After throwing paint, you asked them to rate their mood on a scale ranging from 1 (extremely negative) to 10 (extremely positive). Here are their scores:

Participant # Time spent throwing paint Positive mood rating

1 1 2

2 2 4

3 2 2

4 3 6

5 4 4

6 6 8

7 7 6

8 7 8

9 8 10

10 10 10

Which of the following are the correct statements of the null and alternative hypotheses, H0and HA, where is "rho", the population correlation coefficient between X and Y?

Group of answer choices

H0: 0 and HA: > 0

H0: = 0 and HA: 0

H0: +1.0 and HA: = +1.0

H0: > 0 and HA: 0

H0: 0 and HA: = 0

H0: X = Y and HA: X Y