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. (iv) Are any of the expected frequency values (for which HO is true) for any cell in your table less than 5? Calculate the expected frequencies using technology, the select most correct answer: A. yes - this will not affect results of hypothesis test B. yes - this may invalidate results of hypothesis test C. no - this will not affect results of hypothesis test D. no - this may invalidate results of hypothesis test Enter letter corresponding to correct answer. Recommend using the following applet ( Chi-Square Test of Independence Applet) to create contingency table of expected and observed frequency values in order to answer this question. (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
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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.
(iv) Are any of the expected frequency values (for which HO is true) for any cell in your table less than 5? Calculate the expected frequencies using technology, the select most correct answer:
A. yes - this will not affect results of hypothesis test
B. yes - this may invalidate results of hypothesis test
C. no - this will not affect results of hypothesis test
D. no - this may invalidate results of hypothesis test
Enter letter corresponding to correct answer. Recommend using the following applet ( Chi-Square Test of Independence Applet) to create
(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
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