Based on the statistical results provided, which would lead us to fail to reject the null hypothesis? A) t(5) = 3.2, p = 0.04 B) t(5) = 3.2, p = 0.01 C) t(5) = 3.2, p 0.05

Question

Based on the statistical results provided, which would lead us to fail to reject the null hypothesis?
A) t(5) = 3.2, p = 0.04
B) t(5) = 3.2, p = 0.01
C) t(5) = 3.2, p < 0.05
D) t(5) = 3.2, p > 0.05

Quizplus · Accepted Answer

In hypothesis testing, we set a significance level (α) usually at 0.05. If the p-value is less than or equal to α, we reject the null hypothesis. On the other hand, if the p-value is greater than α, we fail to reject the null hypothesis. 
In this case, option D indicates that the p-value is greater than 0.05 (p > 0.05), which implies that there is insufficient evidence to reject the null hypothesis.

Based on the Statistical Results Provided, Which Would Lead Us