Researchers watched groups of dolphins to determine what activities the dolphins partake in at certain times of the day. The numbers in the table represent the number of groups of dolphins that were partaking in an activity at certain times of days. Is there enough evidence to show that the activity and the time period are dependent for dolphins? Test at the 5% level.
Researchers watched groups of dolphins to determine what activities the dolphins partake in at certain times of the day. The numbers in the table represent the number of groups of dolphins that were partaking in an activity at certain times of days. Is there enough evidence to show that the activity and the time period are dependent for dolphins? Test at the 5% level.
Dolphin Activity
| Activity | Period | Total | |||
| Morning | Noon | Afternoon | Evening | ||
| Travel | 6 | 6 | 12 | 11 | 35 |
| Feed | 29 | 6 | 0 | 54 | 89 |
| Social | 28 | 2 | 1 | 52 | 83 |
| Total | 63 | 14 | 13 | 117 | 207 |
1) State the hypotheses.
H0: Activity and the time period are
Ha: Activity and the time period are
2) Calculate the test statistic. Round your answer to three decimal places.
χ2 =
Calculate the p-value. Round your answer to four decimal places.
p-value =
3) State your decision.
Interpret your decision in the context of the problem.
At the 5% level of significance, there enough evidence to show that activity and the time period are .
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