The test value is: (round to 3 decimal places) The p-value is (round to 3 decimal places) So the decision is to reject H0H0 do not reject H0H0 Thus the final conclusion is
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 0.01 level of significance.
| 1-3 hours | 4-6 hours | 7-9 hours | |
| Community College Student | 97 | 100 | 64 |
| Four-Year College Student | 99 | 128 | 55 |
| Non-Student | 99 | 138 | 41 |
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 = 0.01 the critical value is 13.277
The test value is: (round to 3 decimal places)
The p-value is (round to 3 decimal places)
So the decision is to
- reject H0H0
- do not reject H0H0
Thus the final conclusion is
- There is enough evidence to reject 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 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.
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