A machine that fills cereal boxes is supposed to be calibrated so that the mean fill weight is 12 oz. Let μ denote the true mean
fill weight. Assume that in a test of the hypotheses H0 : μ = 12 versus H1 : μ ≠ 12, the P-value is 0.33. Should H0 be rejected on the basis of this test? Explain. Check all that are true.
the rule in statistical hypothesis testing is for the null hypothesis to be rejected whenever the p value is calculated and found to be ≤ the level of significance.
if p-value ≤ 0.05.
we reject h0
but in this question the p value is = 0.33
this p value is high so we cannot reject the null hypothesis
0.33 is greater than 0.05
so the decision is to fail to reject the null hypothesis.
