Question: The senior vice president for marketing at Westin Hotels believes that the company's recent advertising of the Westin Plaza in New York has increased the average occupancy rate at that hotel by a least 5%. A random sample of daily occupancy rates at 15 different locations (in percentages) before and after the advertising took place. The data are as follows.

Before Advertising: 86, 92, 83, 88, 79, 81, 90,76, 80, 91, 85, 89, 77, 91, 83

After Advertising (%): 88, 94, 97, 99, 89, 93, 92, 98, 89, 90, 97, 91, 87, 80, 88

Using the 0.05 level of significance, can you examine if the daily occupancy rate has increased after the advertising took place. Compute the p-value of your test.