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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 33PPS

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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 H_O 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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