Question
The critical region is defined by the critical value -2.33. The test statistic value is -1.7. Would you reject or fail to reject the hypothesis?
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Answers
GPT-4o mini
To determine whether to reject or fail to reject the null hypothesis based on the critical region and test statistic, you can follow these steps:
1. **Identify the critical value**: The critical value provided is -2.33. This indicates the threshold beyond which we would reject the null hypothesis.
2. **Compare the test statistic**: The test statistic given is -1.7.
3. **Decision rule**:
- If the test statistic is less than or equal to the critical value (i.e., more extreme), you reject the null hypothesis.
- If the test statistic is greater than the critical value (i.e., less extreme), you fail to reject the null hypothesis.
In this case:
- Since -1.7 is greater than -2.33, we fail to reject the null hypothesis.
**Answer**: Fail to reject the hypothesis.
1. **Identify the critical value**: The critical value provided is -2.33. This indicates the threshold beyond which we would reject the null hypothesis.
2. **Compare the test statistic**: The test statistic given is -1.7.
3. **Decision rule**:
- If the test statistic is less than or equal to the critical value (i.e., more extreme), you reject the null hypothesis.
- If the test statistic is greater than the critical value (i.e., less extreme), you fail to reject the null hypothesis.
In this case:
- Since -1.7 is greater than -2.33, we fail to reject the null hypothesis.
**Answer**: Fail to reject the hypothesis.