Suppose you conduct a test and your pvalue is equal to 0.016. What can you conclude?

A. Reject Ho at alpha=0.05 but not at alpha=0.10  

B. Reject Ho at alpha=0.05 but not at alpha=0.01  

C. Reject Ho at alpha=0.01 but not at alpha=0.05  

D. Reject Ho at alpha=0.10 but not at alpha=0.05  

E. Reject Ho at alpha equal to 0.10,0.05, and 0.01  

F. Do not reject Ho at alpha equal to 0.10, 0.05, or 0.01 
Answer
General guidance
Alternative hypothesis: The hypothesis that differs from the is called alternative hypothesis. This signifies that there is a significant difference in the test. The sign of alternative hypothesis is less than , greater than , or not equal .
Pvalue: The probability of getting the value of the statistic that is as extreme as the observed statistic when the null hypothesis is true is called as Pvalue.
Rejection rule based on pvalue:
If , then reject the null hypothesis.
If , then do not reject the null hypothesis.
Stepbystep
Step 1 of 2
From the given information, the pvalue is 0.016.
Conclusion for .
Use the significance level,
The is less than the level of significance.
That is, .
Therefore, by the rejection rule, reject the null hypothesis.
Conclusion for .
Use the significance level,
The is greater than the level of significance.
That is, .
Therefore, by the rejection rule, do not reject the null hypothesis.
Conclusion for .
Use the significance level,
The is less than the level of significance.
That is, .
Therefore, by the rejection rule, reject the null hypothesis.
Hence, the options (A), (C), (D), (E) and (F) are incorrect.
The pvalue and the level of significance are compared to check if the null hypothesis is rejected or not. If pvalue is greater than the level of significance then the null hypothesis is not rejected otherwise it is rejected.
Step 2 of 2
Conclusion for .
Use the significance level,
The is greater than the level of significance.
That is, .
Therefore, by the rejection rule, do not reject the null hypothesis.
Conclusion for .
Use the significance level,
The is less than the level of significance.
That is, .
Therefore, by the rejection rule, reject the null hypothesis.
Hence, the option (B) is correct.
Reject at but not at .
The pvalue and the level of significance are compared to check if the null hypothesis is rejected or not. If pvalue is greater than the level of significance then the null hypothesis is not rejected otherwise it is rejected.
Answer
Reject at but not at .
Answer only
Reject at but not at .