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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 381 randomly selected fish caught in Green Valley Lake, 199 were rainbow trout, 63 were other trout, 58 were bass, and 61 were catfish. Of the 526 randomly selected fish caught in Echo Lake, 224 were rainbow trout, 129 were other trout, 91 were bass, and 82 were catfish. Conduct the appropriate hypothesis test using an x= 0.01 level of significance. a. What is the correct statistical test to use? O Paired t-test O Independence O Goodness-of-Fit Homogeneity b. What are the null and alternative hypotheses? Ho: H₂: 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. Fish breed and lake are independent. Fish breed and lake are independent. 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. c. The test-statistic for this data = d. The p-value for this sample- (Please show your answer to three decimal places.) (Please show your answer to four decimal places.)

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 381 randomly selected fish caught in Green Valley Lake, 199 were rainbow trout, 63 were other trout, 58 were bass, and 61 were catfish. Of the 526 randomly selected fish caught in Echo Lake, 224 were rainbow trout, 129 were other trout, 91 were bass, and 82 were catfish. Conduct the appropriate hypothesis test using an x= 0.01 level of significance. a. What is the correct statistical test to use? O Paired t-test O Independence O Goodness-of-Fit Homogeneity b. What are the null and alternative hypotheses? Ho: H₂: 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. Fish breed and lake are independent. Fish breed and lake are independent. 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. c. The test-statistic for this data = d. The p-value for this sample- (Please show your answer to three decimal places.) (Please show your answer to four decimal places.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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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 381 randomly selected fish caught in Green Valley Lake, 199 were rainbow trout, 63 were other trout, 58 were bass, and 61 were catfish. Of the 526 randomly selected fish caught in Echo Lake, 224 were rainbow trout, 129 were other trout, 91 were bass, and 82 were catfish. Conduct the appropriate hypothesis test using an x = 0.01 level of significance. a. What is the correct statistical test to use? O Paired t-test Independence Goodness-of-Fit Homogeneity b. What are the null and alternative hypotheses? H₂: H₂: 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. O Fish breed and lake are independent. O Fish breed and lake are independent. 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. Fish breed and lake are dependent. c. The test-statistic for this data = d. The p-value for this sample= e. The p-value is Select an answer f. Based on this, we should accept the null fail to reject the null reject the null g. Thus, the final conclusion is... a (Please show your answer to three decimal places.) (Please show your answer to four decimal places.) There is insufficient 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. There is sufficient 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 insufficient evidence to conclude that fish breed and lake are independent.
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 381 randomly selected fish caught in Green Valley Lake, 199 were rainbow trout, 63 were other trout, 58 were bass, and 61 were catfish. Of the 526 randomly selected fish caught in Echo Lake, 224 were rainbow trout, 129 were other trout, 91 were bass, and 82 were catfish. Conduct the appropriate hypothesis test using an x = 0.01 level of significance. a. What is the correct statistical test to use? O Paired t-test Independence Goodness-of-Fit Homogeneity b. What are the null and alternative hypotheses? H₂: H₂: 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. O Fish breed and lake are independent. O Fish breed and lake are independent. 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. Fish breed and lake are dependent. c. The test-statistic for this data = d. The p-value for this sample= e. The p-value is Select an answer f. Based on this, we should accept the null fail to reject the null reject the null g. Thus, the final conclusion is... a (Please show your answer to three decimal places.) (Please show your answer to four decimal places.) There is insufficient 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. There is sufficient 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 insufficient evidence to conclude that fish breed and lake are independent.
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