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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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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 Period Activity Morning Noon Afternoon Evening Total Travel 19 13 14 15 61 Feed 20 14 54 118 Social 15 13 52 109 Total 78 48 41 121 288 State the hypotheses. Ho: Activity and the time period are Select an answer Ha: Activity and the time period are Select an answer Calculate the test statistic. Round your answer to three decimal places. x² = Calculate the p-value. Round your answer to four decimal places. p-value= State your decision. Since p-value? 0.05, Select an answer Ho. Interpret your decision in the context of the problem. At the 5% level of significance, there Select an answer enough evidence to show that activity and the time period are Select an answer. Submit Question % ^ & 5 6 7 2 30 29 #3 S4 $ * ∞
Transcribed Image Text: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 Period Activity Morning Noon Afternoon Evening Total Travel 19 13 14 15 61 Feed 20 14 54 118 Social 15 13 52 109 Total 78 48 41 121 288 State the hypotheses. Ho: Activity and the time period are Select an answer Ha: Activity and the time period are Select an answer Calculate the test statistic. Round your answer to three decimal places. x² = Calculate the p-value. Round your answer to four decimal places. p-value= State your decision. Since p-value? 0.05, Select an answer Ho. Interpret your decision in the context of the problem. At the 5% level of significance, there Select an answer enough evidence to show that activity and the time period are Select an answer. Submit Question % ^ & 5 6 7 2 30 29 #3 S4 $ * ∞
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