Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel). Hotel occupancy data for February in two consecutive years are as follows. Current Year Previous Year
Occupied
Rooms 1,470 1,440
Total
Rooms 1,750 1,800
(a) Formulate the hypothesis test that can be used to determine if there has been an increase in the proportion of rooms occupied over the one-year period. (Let p1 = population proportion of rooms occupied for current year and p2 = population proportion of rooms occupied for previous year.)
H0: p1 − p2 ≤ 0
Ha: p1 − p2 > 0
H0: p1 − p2 = 0
Ha: p1 − p2 ≠ 0
H0: p1 − p2 ≥ 0
Ha: p1 − p2 < 0
H0: p1 − p2 < 0
Ha: p1 − p2 = 0
H0: p1 − p2 ≠ 0
Ha: p1 − p2 = 0
(b) What is the estimated proportion of hotel rooms occupied each year?
(c) Calculate the test statistic. (Round your answer to two decimal places.)
(d) What is the p-value? (Round your answer to four decimal places.)
p-value =