1. A pizza chain is considering opening a new store in an area that currently does not have any such stores. The chain will open if there is evidence that more than 5,000 of the 20,000 households in the area have a favorable view of its brain. It conducts a telephone poll of 300 randomly selected households in the area and finds that 96 have a favorable view. The null and alternative hypotheses tested are:

H0: p ? 0.25

HA: p > 0.25

The value of the calculated test statistic is 2.80. What is the p-value associated with the test statistic? Round your answers to 4 decimal places.

2.

The owner of a local nightclub has recently surveyed a random sample of n = 50 customers of the club. She would now like to determine whether or not the mean age of her customers is greater than 30. If so, she plans to alter the entertainment to appeal to an older crowd. If not, no entertainment changes will be made. Her null and alternative hypotheses are:

H0: ? ? 30

HA: ? >30.

If she wants to have a level of significance at 0.01, what rejection region should she use?

Reject if tc > 1.677

Reject if tc > 2.326

Reject if tc < 2.405

Reject if tc > 2.405