Concept explainers
To draw: The appropriate conclusion.
Answer to Problem 21E
Reject the null hypothesis.
Explanation of Solution
Given:
The table is:
Quadratic | Count |
1 | 18 |
2 | 22 |
3 | 39 |
4 | 21 |
P -value is 0.0129.
Level of significance 5%
Calculation:
The null and alternative hypotheses are:
The calculation for test statistic could be done as:
Observed value (O) | |
18 | 0.25(100) = 25 |
22 | 0.25(100) = 25 |
39 | 0.25(100) = 25 |
21 | 0.25(100) = 25 |
The test statistic is:
The P -value is 0.0129.
The P -value is below the significance level. Thus, the null hypothesis is rejected. Thus at 5% significance level there is sufficient evidence to favor the claim about the trees.
Hence, the correct option is (c).
Chapter 11 Solutions
The Practice of Statistics for AP - 4th Edition
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Introductory Statistics (2nd Edition)
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
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