A bottling company produces bottles that hold 12 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 64 bottles and finds the average amount of liquid held by the bottles is 11.9155 ounces with a standard deviation of 0.40 ounce. Suppose the p-value of this test is 0.0455. State the proper conclusion.

A) At $\alpha = 0.10$, fail to reject the null hypothesis.
B) At $\alpha = 0.025$, reject the null hypothesis.
C) At $\alpha = 0.05$, accept the null hypothesis.
D) At $\alpha = 0.05$, reject the null hypothesis.

Question

A bottling company produces bottles that hold 12 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 64 bottles and finds the average amount of liquid held by the bottles is 11.9155 ounces with a standard deviation of 0.40 ounce. Suppose the p-value of this test is 0.0455. State the proper conclusion.

A) At $\alpha = 0.10$, fail to reject the null hypothesis.
B) At $\alpha = 0.025$, reject the null hypothesis.
C) At $\alpha = 0.05$, accept the null hypothesis.
D) At $\alpha = 0.05$, reject the null hypothesis.

Quizplus · Accepted Answer

The p-value of 0.0455 is less than the significance level $\alpha = 0.05$, so we reject the null hypothesis.

A Bottling Company Produces Bottles That Hold 12 Ounces of Liquid