Question

The P-value for a hypothesis test is given. Determine whether the strength of the evidence against the null hypothesis is weak/none, moderate, strong, or very strong. P = 0.31

A) Strong B) Very strong C) Weak or none D) Moderate

Answer 1

By definition of p-value ,a p-value is the probability of obtaining results as extreme as the observed results of a hypothesis test, assuming that null hypothesis is true.p-value is the area in the tail of a probability distribution. If the test is both tailed then p value lies in both the tails.

Now , a smaller p-value means that there is stronger evidence against the null hypothesis. Mainly we compare p-value with significance level = 0.05 or 0.01

If p-value is less than then we can say that there is strong evidence against null hypothesis.

Here ,we have given that, p-value=0.31 which is much larger than significance level .

So ,the strength of the evidence against null hypothesis is weak/ none.(c)