Concept explainers
To test: The claim that is the wheel out of balance.
Answer to Problem 1RE
Solution: There is an inadequate indication to discard the null hypothesis.
Explanation of Solution
Given: The sample size is
Explanation: To test the hypothesis, the null and alternate hypotheses are defined in the following manner:
The observed frequencies
Outcome | Observed frequency |
---|---|
Black | 233 |
Red | 237 |
Green | 30 |
Total | 500 |
The expected frequencies
where n is the number of trials and
In the given problem,
The expected frequencies
Outcome | Number of slots | Expected frequency |
|
---|---|---|---|
Black | 18 | ||
Red | 18 | ||
Green | 2 | ||
Total | 38 | 500 |
The test statistic is calculated as follows:
where
Therefore, the critical values are observed as follows:
Therefore, there is an inadequate indication to discard the null hypothesis because the value of test statistic
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Chapter 12 Solutions
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