For a lower tail hypothesis test, where p-value = .03. Which of the following is correct? a. If the level of significance = .05, the null hypothesis H0 is rejected. b. If the level of significance = .025, the null hypothesis H0 is rejected. c. If the level of significance = .005, the null hypothesis H0 i
For a lower tail hypothesis test, where p-value = .03. Which of the following is correct?
| a. |
If the level of significance = .05, the null hypothesis H0 is rejected. |
|
| b. |
If the level of significance = .025, the null hypothesis H0 is rejected.
|
|
| c. |
If the level of significance = .005, the null hypothesis H0 is rejected. |
|
| d. |
All of the above. |
Decision Rule:
If p-value ≤ α, then reject the null hypothesis.
Option a:
Conclusion:
Given p value is p=0.03
The level of significance is α=0.05
Here, the p-value is less than the level of significance.
From the decision rule, reject the null hypothesis.
Hence, the option a) is correct.
Option b:
Conclusion:
Given p value is p=0.03
The level of significance is α=0.025
Here, the p-value is greater than the level of significance.
From the decision rule, failed to reject the null hypothesis.
Hence, the option b) is incorrect.
Option c:
Conclusion:
Given p value is p=0.03
The level of significance is α=0.005
Here, the p-value is greater than the level of significance.
From the decision rule, failed to reject the null hypothesis.
Hence, the option c) is incorrect.
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