Question

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 overfilled? based on a 32 bag sample, the manufacturer decides 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 overfilling the bags. there is not sufficient evidence at the 0.05 level of significance that the machine is overfilling the bags.

Explanation:

In hypothesis - testing, when the null hypothesis is rejected at a given significance level, it means that there is sufficient evidence to support the alternative hypothesis. Here, the null hypothesis is likely that the machine is not over - filling the bags (or filling them correctly at 428 grams), and the alternative is that it is over - filling. Since the null hypothesis is rejected at the 0.05 level of significance, there is enough evidence to suggest over - filling.

Answer:

There is sufficient evidence at the 0.05 level of significance that the machine is overfilling the bags.