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.
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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Question
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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