Question

a manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 420 gram setting. is there sufficient evidence at the 0.02 level that the bags are overfilled? based on a 61 bag sample, the manufacturer decides to reject the null hypothesis. what is the conclusion? answer there is sufficient evidence at the 0.02 level of significance that the machine is overfilling the bags. there is not sufficient evidence at the 0.02 level of significance that the machine is overfilling the bags.

Explanation:

Step1: Recall hypothesis - testing conclusion

In hypothesis - testing, when the null hypothesis is rejected at a given significance level, it means there is sufficient evidence to support the alternative hypothesis.

Step2: Identify null and alternative hypotheses

The null hypothesis $H_0$ is that the machine is filling bags correctly (i.e., not over - filling), and the alternative hypothesis $H_1$ is that the machine is over - filling. Since the null hypothesis is rejected at the 0.02 level of significance.

Answer:

There is sufficient evidence at the 0.02 level of significance that the machine is overfilling the bags.