Question

In a volunteer group, adults 21 and older volunteer between 1 and 9 hours each week. The program includes people from a community college, a four-year college, and non-students. The leader of the group is interested in seeing if there is a relationship between the type of volunteer and the number of hours volunteered. She collected the following data below. Perform a hypothesis test to help her at 0.10 level of significance.

	1-3 hours	4-6 hours	7-9 hours
Community College Student	90	90	52
Four-Year College Student	110	130	59
Non-Student	89	135	57

What are the expected numbers? (round to 3 decimal places)

	1-3 hours	4-6 hours	7-9 hours
Community College Student
Four-Year College Student
Non-Student

The hypotheses are

H0:H0: The number of hours volunteered is independent of the type of volunteer.

HA:HA: The number of hours volunteered is dependent of the type of volunteer.(claim)

Since αα = 0.10 the critical value is 7.779

The test value is: (round to 3 decimal places)

The p-value is (round to 3 decimal places)

So the decision is to

• do not reject H0H0
• reject H0H0

Thus the final conclusion is

• There is not enough evidence to reject the claim that the number of hours volunteered is dependent of the type of volunteer.
• There is not enough evidence to support the claim that the number of hours volunteered is dependent of the type of volunteer.
• There is enough evidence to support the claim that the number of hours volunteered is dependent of the type of volunteer.
• There is enough evidence to reject the claim that the number of hours volunteered is dependent of the type of volunteer.

Answer 1