If we reject a null hypothesis at the 0.05 level of significance, then we must also reject it at the 0.10 level.Group of answer choicesTrueFalse

Statement Analysis

1. Understanding Null Hypothesis Rejection: The rejection of a null hypothesis is based on the p-value obtained from a statistical test compared to the significance level (α). If the p-value is less than or equal to α, we reject the null hypothesis.

2. Levels of Significance: The 0.05 level of significance is more stringent than the 0.10 level. If a null hypothesis is rejected at the 0.05 significance level, it indicates strong evidence against the null hypothesis.

Implication of Rejection

3. If Rejected at 0.05: When we reject the null hypothesis at the 0.05 significance level, it indicates that the p-value is less than 0.05 (p < 0.05).

4. Comparison with 0.10 Level: Since 0.10 is a higher threshold for rejection (less stringent), if a null hypothesis is rejected at 0.05, it will also be rejected at 0.10, as the condition (p < 0.10) will still hold true.

Conclusion

5. Final Verdict: Therefore, the statement is True; if we reject a null hypothesis at the 0.05 level of significance, we must also reject it at the 0.10 level.

Final Answer

True