Suppose you conduct a test and your p-value is equal to 0.016. What can you conclude?(A)Reject Ho at alpha=0.05


#1

Suppose you conduct a test and your p-value is equal to 0.016. What can you conclude?
image

Concepts and reason
Null hypothesis: The null hypothesis states that there is no difference in the test, which is denoted by image. Moreover, the sign of null hypothesis is equal, greater than or equal and less than or equal.

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 .

P-value: 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 P-value.

Fundamentals
Rejection rule based on p-value:

  • If image, then reject the null hypothesis.
  • If image, then do not reject the null hypothesis.

Answer:

From the given information, the p-value is 0.016.
Conclusion for image.
Use the significance level,image
The p-value is less than the level of significance.
That is, image.
Therefore, by the rejection rule, reject the null hypothesis.

Conclusion for image.
Use the significance level,image
The p-value is greater than the level of significance.
That is, image.
Therefore, by the rejection rule, do not reject the null hypothesis.

Conclusion for image.
Use the significance level,image
The p-value is less than the level of significance.
That is,image .
Therefore, by the rejection rule, reject the null hypothesis.
Hence, the options (A), ( C), (D), (E) and (F) are incorrect.

The p-value and the level of significance are compared to check if the null hypothesis is rejected or not. If p-value is greater than the level of significance then the null hypothesis is not rejected otherwise it is rejected.