The Fish and Game Department stocked a lake with fish in the following proportions: 30% catfish, 15% bass, 40% bluegill, 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 Bluegil Pike 124 95 210 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? 0.05 Enter a number. State te nu and alternate hypotheses. Ho: The distributions are different. H,: The distributions are different. Ho: The distributions are the same. H,: The distributions are the same. Ho: The distributions are the same. H,: The distributions are different. Ho: The distributions are different. H,: The distributions are the same.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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The Fish and Game Department stocked a lake with fish in the following proportions: 30% catfish, 15% bass, 40% bluegill, 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
124
95
210
71
n 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?
0.05
Enter a number.
State the nuim and alternate hypotheses.
O Ho: The distributions are different. H,: The distributions are different.
Ho: The distributions are the same. H,: The distributions are the same.
1°
: The distributions are the same. H,: The distributions are different.
Ho
C Ho: The distributions are different. 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.)
Are all the expected frequencies greater than 5?
O Yes
O No
What sampling distribution will you use?
O Student'st
o chi-square
o uniform
o binomial
normal
What are the degrees of freedom?
Transcribed Image Text:The Fish and Game Department stocked a lake with fish in the following proportions: 30% catfish, 15% bass, 40% bluegill, 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 124 95 210 71 n 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? 0.05 Enter a number. State the nuim and alternate hypotheses. O Ho: The distributions are different. H,: The distributions are different. Ho: The distributions are the same. H,: The distributions are the same. 1° : The distributions are the same. H,: The distributions are different. Ho C Ho: The distributions are different. 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.) Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O Student'st o chi-square o uniform o binomial normal What are the degrees of freedom?
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