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?

currentprevious

(c)

Calculate the test statistic. (Round your answer to two decimal places.)

What is the p-value? (Round your answer to four decimal places.)

p-value =

Using a 0.05 level of significance, what is your hypothesis test conclusion?

Reject

H0.

There is insufficient evidence to conclude that there has been an increase in the hotel occupancy rate. Do not reject

H0.

There is insufficient evidence to conclude that there has been an increase in the hotel occupancy rate. Do not reject

H0.

There is sufficient evidence to conclude that there has been an increase in the hotel occupancy rate. Reject

H0.

There is sufficient evidence to conclude that there has been an increase in the hotel occupancy rate.

(d)

What is the 95% confidence interval estimate of the change in occupancy for the one-year period? (Round your answers to four decimal places.)

to

Do you think area officials would be pleased with the results?

The 95% confidence interval ---Select--- is completely above contains is completely below zero. This suggests that the occupancy rates for the current year are ---Select--- higher lower than the occupancy rates for the previous year, therefore the officials would ---Select--- be not be pleased with the results.