4 homogeneity

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 363 randomly selected fish caught in Green Valley Lake, 187 were rainbow trout, 67 were other trout, 59 were bass, and 50 were catfish. Of the 498 randomly selected fish caught in Echo Lake, 207 were rainbow trout, 109 were other trout, 84 were bass, and 98 were catfish. Conduct the appropriate hypothesis test using an a = 0.05 level of significance. a. What is the correct statistical test to use? O Goodness-of-Fit O Independence O Homogeneity O Paired t-test b. What are the null and alternative hypotheses? Ho: Fish breed and lake are independent. O The distribution of fish is the same for Green Valley Lake and Echo Lake. The distribution of fish is not the same for Green Valley Lake and Echo Lake. O Fish breed and lake are dependent. H1 : 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. The distribution of fish is not the same for Green Valley Lake and Echo Lake. c. The test-statistic for this data = (Please show your answer to three decimal places.) d. The p-value for this sample = Please show your answer to four decimal places.) e. The p-value is Select an answer va f. Based on this, we should