Question

question 6 of 20, step 1 of 1
4/29
correct
a manufacturer of chocolate chips would like to know whether its bag - filling machine works correctly at the 428 gram setting. is there sufficient evidence at the 0.05 level that the bags are underfilled? based on a 32 bag sample, the manufacturer fails to reject the null hypothesis.
what is the conclusion?
answer
there is sufficient evidence at the 0.05 level of significance that the machine is underfilling the bags.
there is not sufficient evidence at the 0.05 level of significance that the machine is underfilling the bags.

Explanation:

In hypothesis - testing, when we fail to reject the null hypothesis, it means that the data does not provide enough evidence to support the alternative hypothesis. Here, the null hypothesis is likely that the bags are not under - filled (or filled correctly at 428 grams) and the alternative is that the bags are under - filled. Since the manufacturer fails to reject the null hypothesis at the 0.05 significance level, there is not enough evidence to conclude that the machine is under - filling the bags.

Answer:

There is not sufficient evidence at the 0.05 level of significance that the machine is underfilling the bags.