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58 A fisherman is interested in whether the distribution of fish caught in Green Valley Lake is the same as the distribution of fish caught

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58

A fisherman is interested in whether the distribution of fish caught in Green Valley Lake is the same as the distribution of fish caught in Echo Lake. Of the 330 randomly selected fish caught in Green Valley Lake, 181 were rainbow' trout, 62 were other trout, 57 were bass, and 30 were catfish. Of the 495 randomly selected fish caught in Echo Lake, 217 were rainbow trout, 128 were other trout, 80 were bass, and 70 v.'ere catfish. Conduct the appmpriate hypothesis test using an a = 0.01 level of significance. a. What is the correct statistical test to use? o Goodness-of-Fit O Independence o Homoge nei ty o Paired t -test b. What are the null and alternative hypotheses? o Fish breed and lake are independent. o The distribution of fish is not the same for Green Valley Lake and Echo Lake. o The distribution of fish is the same for Green Valley Lake and Echo Lake. C) Fish breed and lake are dependent. o The distribution of fish is not the same for Green Valley Lake and Echo Lake. o The distribution of fish is the same for Green Valley Lake and Echo Lake. O Fish breed and lake are dependent. o Fish breed and lake are independent. c. The test-statistic for this data = (Please show 'nur answer to three decimal ) show ',nour answer to four decimal places. ) d. The p-value for this sample e. The p-value is f. Based on this, we should o reject the null o accept the null o fail to reject the null g. Thus, the final conclusion is... o There is insufficient evidence to conclude that fish breed and lake are independent. o There is insufficient evidence to conclude that the distribution of fish is the same for Green Valley Lake and Echo Lake. o There is sufficient evidence to conclude that the distribution of fish is not the same for Green Valley Lake and Echo Lake. o There is sufficient evidence to conclude that fish breed and lake are dependent. o There is sufficient evidence to conclude that the distribution of fish is the same for Green Valley Lake and Echo Lake.

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