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 370 randomly selected fish caught in Green Valley Lake, 188 were rainbow trout, 79 were other trout, 54 were bass, and 49 were catfish. Of the 547 randomly selected fish caught in Echo Lake, 246 were rainbow trout, 127 were other trout, 89 were bass, and 85 were catfish. Conduct the appropriate hypothesis test using an a = 0.01 level of significance. a. What is the correct statistical test to use? O Homogeneity O Goodness-of-Fit O Independence O Paired t-test b. What are the null and alternative hypotheses? Ho: O Fish breed and lake are independent. The distribution of fish is the same for Green Valley Lake and Echo Lake. Fish breed and lake are dependent. The distribution of fish is not the same for Green Valley Lake and Echo Lake. H₁: O Fish breed and lake are independent. The distribution of fish is not the same for Green Valley Lake and Echo Lake. Fish breed and lake are dependent. The distribution of fish is the same for Green Valley Lake and Echo Lake. c. The test-statistic for this data = (Please show your answer to three decimal places.)

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d. The p-value for this sample=
e. The p-value is Select an answer
f. Based on this, we should
O reject the null
accept the null
O fail to reject the null
V α
(Please show your answer to four decimal places.)
g. Thus, the final conclusion is...
O There is insufficient evidence to conclude that fish breed and lake are independent.
O There is sufficient evidence to conclude that the distribution of fish is the same for Green
Valley Lake and Echo Lake.
O There is insufficient evidence to conclude that the distribution of fish is not the same for
Green Valley Lake and Echo Lake.
There is sufficient evidence to conclude that fish breed and lake are dependent.
There is sufficient evidence to conclude that the distribution of fish is not the same for Green
Valley Lake and Echo Lake.
Transcribed Image Text:d. The p-value for this sample= e. The p-value is Select an answer f. Based on this, we should O reject the null accept the null O fail to reject the null V α (Please show your answer to four decimal places.) g. Thus, the final conclusion is... O There is insufficient evidence to conclude that fish breed and lake are independent. O There is sufficient evidence to conclude that the distribution of fish is the same for Green Valley Lake and Echo Lake. O There is insufficient evidence to conclude that the distribution of fish is not the same for Green Valley Lake and Echo Lake. There is sufficient evidence to conclude that fish breed and lake are dependent. There is sufficient evidence to conclude that the distribution of fish is not the same for Green Valley Lake and Echo Lake.
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 370 randomly selected fish caught in Green Valley Lake, 188
were rainbow trout, 79 were other trout, 54 were bass, and 49 were catfish. Of the 547 randomly selected
fish caught in Echo Lake, 246 were rainbow trout, 127 were other trout, 89 were bass, and 85 were catfish.
Conduct the appropriate hypothesis test using an a = 0.01 level of significance.
a. What is the correct statistical test to use?
O Homogeneity
O Goodness-of-Fit
O Independence
O Paired t-test
b. What are the null and alternative hypotheses?
Ho:
O Fish breed and lake are independent.
The distribution of fish is the same for Green Valley Lake and Echo Lake.
Fish breed and lake are dependent.
The distribution of fish is not the same for Green Valley Lake and Echo Lake.
H₁:
O Fish breed and lake are independent.
The distribution of fish is not the same for Green Valley Lake and Echo Lake.
Fish breed and lake are dependent.
The distribution of fish is the same for Green Valley Lake and Echo Lake.
c. The test-statistic for this data =
(Please show your answer to three decimal places.)
Transcribed Image Text: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 370 randomly selected fish caught in Green Valley Lake, 188 were rainbow trout, 79 were other trout, 54 were bass, and 49 were catfish. Of the 547 randomly selected fish caught in Echo Lake, 246 were rainbow trout, 127 were other trout, 89 were bass, and 85 were catfish. Conduct the appropriate hypothesis test using an a = 0.01 level of significance. a. What is the correct statistical test to use? O Homogeneity O Goodness-of-Fit O Independence O Paired t-test b. What are the null and alternative hypotheses? Ho: O Fish breed and lake are independent. The distribution of fish is the same for Green Valley Lake and Echo Lake. Fish breed and lake are dependent. The distribution of fish is not the same for Green Valley Lake and Echo Lake. H₁: O Fish breed and lake are independent. The distribution of fish is not the same for Green Valley Lake and Echo Lake. Fish breed and lake are dependent. The distribution of fish is the same for Green Valley Lake and Echo Lake. c. The test-statistic for this data = (Please show your answer to three decimal places.)
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