3. A particular snack brand is advertised that each package contains 454 grams. It is

suspected that the packaging machine is off and on the average each package contains less.

A large sample is taken in order to test the hypotheses:

Ho: μ2454

Ha: μ< 454

The P-value is calculated as 0.09.

Which of the following would be a correct interpretation of the P-value?

A. It can conclusively be stated that the packaging machine is working correctly

B. There is a 9% probability that the exact fill weight average is 454 g.

C. The probability of obtaining a sample mean as extreme as the one observed given that hypothesis is true, that the mean fill rate is the true mean is exactly 454 g is 0.09, or 9%.

D. There is a 9% probab that the alt

less than 454 g.

E. 9% of the sample was less than 454 g.