Catfish Bass Bluegill Pike 122 89 218 71 A USE SALT e 5-year interval, did the distribution of fah change at the 0.05 level? What is the level of significance? State the null and aitenate hypotheses. OH,: The distributions are the same. H,: The distributions are different. OH: The distributions are different. H The distributions are different. OH,: The distributions are different. H The distributions are the same. OHg: The distributions are the same. H,: The distributions are the same. Find the value of the chi-square statistic for the sample. (Round your answer to three decimal places.) Are all the expected frequencies greater than 57 O Yes O No What sampling distribution will you use? O Student's t O uniform O normal O chi-square O binomial What are the degrees of freedom? Estimate the Pvalue of the sample test statistic. O Pvalue> 0.100 O 0.050 < Pvalue < 0.100 O 0.025 < Pvalue <0.050 O 0.010 < Pvalue < 0.025 O 0.005 < Prvalue < 0.010 OPvalue <0.005 Based on your answers in parts (a) to (c), will you reject or fail to reject the nul hypothesis that the population fits the spedfied distribution of categories? O Since the Pvalue > a, we fail to reject the null hypothesis. O Sice the Pvalue >a, we reject the null hypothesis. O Sice the Prvalue sa, we reject the null hypothesis. O Since the Pvalue sa, we fail to reject the null hypothesis. Interpret your conclusion in the context of the application. O At the S% level of significance, the evidence is insuficient to conclude that current fish distribution is different than that of five years ago. O At the 5% level of significance, the evidence is suficient to conclude that current fish distribution is different than that of five years ago.
Catfish Bass Bluegill Pike 122 89 218 71 A USE SALT e 5-year interval, did the distribution of fah change at the 0.05 level? What is the level of significance? State the null and aitenate hypotheses. OH,: The distributions are the same. H,: The distributions are different. OH: The distributions are different. H The distributions are different. OH,: The distributions are different. H The distributions are the same. OHg: The distributions are the same. H,: The distributions are the same. Find the value of the chi-square statistic for the sample. (Round your answer to three decimal places.) Are all the expected frequencies greater than 57 O Yes O No What sampling distribution will you use? O Student's t O uniform O normal O chi-square O binomial What are the degrees of freedom? Estimate the Pvalue of the sample test statistic. O Pvalue> 0.100 O 0.050 < Pvalue < 0.100 O 0.025 < Pvalue <0.050 O 0.010 < Pvalue < 0.025 O 0.005 < Prvalue < 0.010 OPvalue <0.005 Based on your answers in parts (a) to (c), will you reject or fail to reject the nul hypothesis that the population fits the spedfied distribution of categories? O Since the Pvalue > a, we fail to reject the null hypothesis. O Sice the Pvalue >a, we reject the null hypothesis. O Sice the Prvalue sa, we reject the null hypothesis. O Since the Pvalue sa, we fail to reject the null hypothesis. Interpret your conclusion in the context of the application. O At the S% level of significance, the evidence is insuficient to conclude that current fish distribution is different than that of five years ago. O At the 5% level of significance, the evidence is suficient to conclude that current fish distribution is different than that of five years ago.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The Fish and Game Department stocked a lake with fish in the following proportions: 30% catfish, 15% bass, 40% bluegil, and 15% pike. Five years later it sampled the lake to see if the distribution of fish had changed. It found that the 500 fish in the sample were distributed as follows.
Catfish Bass Bluegill Pike
89
122
218
71
A USE SALT
In the 5-year interval, did the distribution of fish change at the 0.05 level?
(a) What is the level of significance?
State the null and altemate hypotheses.
OH.: The distributions are the same. H.: The distributions are different.
OH,: The distributions are different. H,: The distributions are different.
OH,: The distributions are different. H,: The distributions are the same.
O H: The distributions are the same. H,: The distributions are the same.
(b) Find the value of the chi-square statistic for the sample. (Round your answer to three decimal places.)
O
Are all the expected frequencies greater than 57
O Yes
O No
What sampling distribution will vou use?
O Student's t
O uniform
O normal
O chi-square
O binomial
What are the degrees of freedom?
(c) Estimate the P-value of the sample test statistic.
O Pvalue > 0.100
O 0.050 < Pvalue < 0.100
O 0.025 < Pvalue < 0.050
O 0.010 < P-value < 0.025
O 0.005 < Pvalue < 0.010
O P-value < 0.00s
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories?
O Since the P-value > a, we fail to reject the null hypothesis.
O Since the Pvalue > a, we reject the null hypothesis.
O Since the P value sa, we reject the null hypothesis.
O Since the Prvalue sa, we fail to reject the null hypothesis.
(e) Interpret your conclusion in the context of the application.
O At the 5% level of significance, the evidence is insufficient to conclude that current fish distribution is different than that of five years ago.
O At the 5% level of significance, the evidence is sufficient to conclude that current fish distribution is different than that of five years ago.
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