Researchers watched groups of dolphins off the coast of Ireland in 1998 to determine what activities (travel, feed, social) the dolphins partake in at certain times of the day.The numbers in the table below represent the number of groups of dolphins that were partaking in an activity at certain times of days.

Set up and run a test of hypothesis to determine ifthere is enough evidence to show that the activity and the time period areindependentfor dolphins.Use a level of significance of 1%.Specifically, do the following:

(i)Write down the null and alternative hypotheses.

(ii)Verify that the assumptions necessary to apply the test are satisfied.

(iii)What is the test statistic and what is the p-value?

(iv)State your conclusion

Problem 3: Researchers watched groups of dolphins off the coast of Ireland in 1998 to determine what activities (travel, feed, social) the dolphins partake in at certain times of the day. The numbers in the table below represent the number of groups of dolphins that were partaking in an activity at certain times of days. Set up and run a test of hypothesis to determine if there is enough evidence to show that the activity and the time period are independent for dolphins. Use a level of significance of 1%. Specifically, do the following: (i) Write down the null and alternative hypotheses. (ii) Verify that the assumptions necessary to apply the test are satisfied. (iii) What is the test statistic and what is the p-value? (iv) State your conclusion Table: Dolphin Activity Period Row Activity Morning Noon Afternoon Evening Total Travel 6 6 14 13 39 Feed 28 4 0 56 88 Social 38 5 9 10 62 Column 72 15 23 79 189 Total