The manager of the Danvers-Hilton Resort Hotel stated that the mean guest bill for a weekend is $600 or less. A member of the hotel's accounting staff noticed that the total charges for guest bills have been increasing in recent months. The accountant will use a sample of weekend guest bills to test the manager's claim. a. Which form of the hypotheses should be used to test the manager's claim? H0: Ha: b. When H0 cannot be rejected, can we conclude that the manager's claim is wrong? c. When H0 can be rejected, can we conclude that the manager's claim is wrong?

The null hypothesis is the hypothesis we plan to discredit or to prove it's false. On the other hand, the alternative hypothesis is what we expect or hope to be true.

In this case, the accountant wants to prove the manager's claim that the total charges for guests have been increasing, so the mean guest bill for a weekend would be more than $600. What the accountant needs to discredit is that the mean guest bill for the weekend is $600 or less.

Considering what we just stated in the previous paragraph we would have:

The null hypothesis H₀= The mean guest bill for a weekend is $600 or less.

The alternative hypothesis Hₐ= The mean guest bill for a weekend is more than $600.

b) When H₀ cannot be rejected, then there's no evidence supporting the manager's claim, meaning that the guest bills have not been increasing in recent month. So the manager's claim is likely wrong

c) If H₀ is rejected, then we can conclude that the manager's claim is likely right and the total charges for guest bills have been increasing.