Question

The calculated p-value for a hypothesis test is 0.084. What decision about the null hypothesis would occur in the following: The hypothesis test is completed at the 0.10 level of

Answer 1

The calculated p-value for a hypothesis equals to $p = 0.084$.

Level of significance for the test is $\alpha = 0.1$

The decision about the null hypothesis is always based on which of 2 values: $p$-value or significance level is bigger.

If p-value is bigger we fail to reject null hypothesis $H_0$.

If significance level is bigger we reject $H_0$.

In our case $p = 0.084 < 0.1 = \alpha$ so we reject $H_0$.

**ANSWER**: reject $H_0$. There is sufficient evidence to support alternative hypothesis $H_1$.