Question

A social gerontologist believes that there is a connection between the weekly number of hours elderly people spend volunteering and life satisfaction. They conducted a study and collected the following data.

Participant	Weekly Hours Volunteering	Level of Life Satisfaction
A	12	16
B	10	30
C	3	5
D	5	7
E	18	42
F	7	10
G	22	51

* Volunteer Hours was measured by asking the participants , "On average, how many hours do you volunteer each week?"_______

*Life Satisfaction scores ranged from 0 (low sense of life satisfaction) to 60 (high sense of life satisfaction).

Use this data to answer problems #1 through #5.

Question 1

What is the correlation coefficient? (round to the thousandths if necessary)

Question 2

What is the relationship between the two variables?

Group of answer choices

negative; moderate

positive; weak

negative; strong

positive; strong

Question 3

What is the critical value in Table R?

Question 4

Is the correlation significant?

Group of answer choices

Yes, the correlation is significant.

No, the correlation is not significant.

I do not have enough information to answer this question.

Question 5

Should the researcher reject or retain the null hypothesis?

Group of answer choices

The researcher should retain the null hypothesis.

The researcher should reject the null hypothesis.

I do not have enough information to answer this question.

Answer 1

Participant	Weekly Hours Volunteering	Level of Life Satisfaction
A	12	16
B	10	30
C	3	5
D	5	7
E	18	42
F	7	10
G	22	51
	Correlation coefficient	0.949266117	CORREL(Weekly Hours Volunteering,Level of Life Satisfaction)

1)

the correlation coefficient (r) = 0.9493

2)

positive; strong relationship between the two variables

3)

Let alpha = 0.05

n = 7

df = n−2 = 7−2 =5

the critical value (rc) ​= 0.754 (Use R table)

4)

r stat > r critical

Yes, the correlation is significant.

5)

H0: ρ = 0

Ha: ρ not = 0

The researcher should reject the null hypothesis.