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Q7.3
Researchers watched groups of dolphins off the coast of Ireland in 1998 to determine what activities the dolphins partake in at certain times of the day ("Activities of dolphin," 2013). The numbers in table below represent the number of groups of dolphins that were partaking in an activity at certain times of days:
Table: Dolphin Activity
|
Activity |
Period |
Row Total |
|||
|
Morning |
Noon |
Afternoon |
Evening |
||
|
Travel |
6 |
6 |
14 |
13 |
39 |
|
Feed |
28 |
4 |
0 |
56 |
88 |
|
Social |
38 |
5 |
9 |
10 |
62 |
|
Column Total |
72 |
15 |
23 |
79 |
189 |
Is there enough evidence to show that the activity and the time period are independent for dolphins? Test at the 1% level.
(v) Using calculator, spreadsheet, or online calculator, determine test statistic:
Enter value in decimal form rounded to nearest thousandth. Examples of correctly entered answers:
2.010 0.307 1.600 11.019
Recommended online calculator: Chi-Square Test of Independence Applet
(vi) Using tables, calculator, or spreadsheet: Determine and enter p-value corresponding to test statistic.
Enter value in decimal form rounded to nearest ten-thousandth. Examples of correctly entered answers:
0.0001 0.0021 0.0305 0.6004 0.8143 1.0000
Recommended online calculator: Chi-Square Test of Independence Applet
(vii) Comparing p-value and α value, which is the correct decision to make for this hypothesis test?
A. Reject Ho
B. Fail to reject Ho
C. Accept Ho
D. Accept HA
Enter letter corresponding to correct answer.
(viii) Select the statement that most correctly interprets the result of this test:
A. The result is not statistically significant at .01 level of significance. Sufficient evidence exists to support the claim that the activity and the time period are NOT independent for dolphins.
B. The result is not statistically significant at .01 level of significance. There is not enough evidence to support the claim that the activity and the time period are NOT independent for dolphins.
C. The result is statistically significant at .01 level of significance. There is not enough evidence to support the claim that the activity and the time period are NOT independent for dolphins.
D. The result is statistically significant at .01 level of significance. Sufficient evidence exists to support the claim that the activity and the time period are NOT independent for dolphins.
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