A cold medicine lists 500 milligrams of acetaminophen per fluid ounce as an active ingredient. A test of 55 one-ounce samples of the medicine finds that the mean amount of acetaminophen for the sample is 495 milligrams with a standard deviation of 23 milligrams. Test the claim that the medicine does not contain the required amount of acetaminophen. Use a 0.05 significance level.

State the null and alternative hypotheses.

A.

H0: 500 milligrams

Ha: =500 milligrams

B.

H0: =500 milligrams

Ha: >500 milligrams

C.

H0: =500 milligrams

Ha: <500 milligrams

D.

H0: =500 milligrams

Ha: 500 milligrams

Find thez-score.

z=

Find theP-value.

TheP-value is

(Round to four decimal places asneeded.)

State the conclusion.

A.

TheP-value is lessthanorequalto the significance level. There is sufficient evidence to support the claim that the medicine does not contain the required amount of acetaminophen.

B.

TheP-value is greaterthan the significance level. There isnot sufficient evidence to support the claim that the medicine does not contain the required amount of acetaminophen.

This is the correct answer.

C.

TheP-value is lessthanorequalto the significance level. There isnot sufficient evidence to support the claim that the medicine does not contain the required amount of acetaminophen.

Your answer is not correct.

D.

TheP-value is greaterthan the significance level. There is sufficient evidence to support the claim that the medicine does not contain the required amount of acetaminophen