A bottling company produces bottles that hold 10 ounces of liquid. Periodically, the company gets complaints that their bottles are not holding enough liquid. To test this claim, the bottling company randomly samples 49 bottles and finds the average amount of liquid held by the bottles is 9.9155 ounces with a standard deviation of 0.35 ounce. Suppose the p-value of this test is 0.0455. State the proper conclusion.
A) At α = 0.05, reject the null hypothesis.
B) At α = 0.035, accept the null hypothesis.
C) At α = 0.085, fail to reject the null hypothesis.
D) At α = 0.025, reject the null hypothesis.

Question

Quizplus · Accepted Answer

The p-value of 0.0455 is less than the significance level α = 0.05, so we reject the null hypothesis at this level.

A Bottling Company Produces Bottles That Hold 10 Ounces of Liquid