Find the value of the chi-square statistic for the sample.   Estimate the P-value of the sample test statistic. P-value > 0.100 0.050 < P-value < 0.100     0.025 < P-value < 0.050 0.010 < P-value < 0.025 0.005 < P-value < 0.010 P-value < 0.005   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? Since the P-value > α, we fail to reject the null hypothesis. Since the P-value > α, we reject the null hypothesis.     Since the P-value ≤ α, we reject the null hypothesis. Since the P-value ≤ α, we fail to reject the null hypothesis.   Interpret your conclusion in the context of the application.   At the 5% level of significance, the evidence is insufficient to conclude that current fish distribution is different than that of five years ago.   At the 5% level of significance, the evidence is sufficient to conclude that current fish distribution is different than that of five years ago.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...
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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
122 75 222 81
In the 5-year interval, did the distribution of fish change at the 0.05 level
 
Find the value of the chi-square statistic for the sample.
 
Estimate the P-value of the sample test statistic.
P-value > 0.100
0.050 < P-value < 0.100   
 0.025 < P-value < 0.050
0.010 < P-value < 0.025
0.005 < P-value < 0.010
P-value < 0.005
 
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?
Since the P-value > α, we fail to reject the null hypothesis.
Since the P-value > α, we reject the null hypothesis.   
 Since the P-value ≤ α, we reject the null hypothesis.
Since the P-value ≤ α, we fail to reject the null hypothesis.
 
Interpret your conclusion in the context of the application.
 
At the 5% level of significance, the evidence is insufficient to conclude that current fish distribution is different than that of five years ago.
 
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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