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

**Concepts and reason**

**Null hypothesis:** The null hypothesis states that there is no difference in the test, which is denoted by . 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 , then reject the null hypothesis.
- If , then do not reject the null hypothesis.

**Answer:**

From the given information, the p-value is 0.016.

Conclusion for .

Use the significance level,

The **p-value** 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 **p-value** 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 **p-value** 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 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.