gnment Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel, May 19, 2018). Hotel occupancy data for February in two consecutive years are as follows. Current Year Previous Year Occupied Rooms Total Rooms 1,540 1,750 1,530 1,800 a. Formulate the hypothesis test that can be used to determine whether there has been an increase in the proportion of rooms occupied over the one-year period. Let Pi population proportion of rooms occupied for current year P2 population proportion of rooms occupied for previous year Ho P1 P2 less than or equal to 0 Ha P1 P2 greater than 0 b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)? Current year 0.88 Previous Year 0.85 c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. p-value = 0.0044 Using a 0.05 level of significance, what is your conclusion? We can 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 (to 4 decimals)? 0.0185 to 0.0415 Do you think area officials would be pleased with the results? Officials would likely be pleased compared to last year. with the occupancy statistics as the trend for the current year is an increase in hotel occupancy rates

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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gnment
Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel, May 19, 2018).
Hotel occupancy data for February in two consecutive years are as follows.
Current Year
Previous Year
Occupied Rooms
Total Rooms
1,540
1,750
1,530
1,800
a. Formulate the hypothesis test that can be used to determine whether 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
P2 =population proportion of rooms occupied for previous year
Ho P1 P2 less than or equal to 0
Ha P1 P2
greater than 0
b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)?
Current year
0.88
Previous Year
0.85
c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B.
p-value = 0.0044
Using a 0.05 level of significance, what is your conclusion?
We
can 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 (to 4 decimals)?
0.0185
to 0.0415
Do you think area officials would be pleased with the results?
Officials would likely be pleased
compared to last year.
with the occupancy statistics as the trend for the current year is
an increase
in hotel occupancy rates
Transcribed Image Text:gnment Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Orlando Sentinel, May 19, 2018). Hotel occupancy data for February in two consecutive years are as follows. Current Year Previous Year Occupied Rooms Total Rooms 1,540 1,750 1,530 1,800 a. Formulate the hypothesis test that can be used to determine whether 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 P2 =population proportion of rooms occupied for previous year Ho P1 P2 less than or equal to 0 Ha P1 P2 greater than 0 b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)? Current year 0.88 Previous Year 0.85 c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. p-value = 0.0044 Using a 0.05 level of significance, what is your conclusion? We can 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 (to 4 decimals)? 0.0185 to 0.0415 Do you think area officials would be pleased with the results? Officials would likely be pleased compared to last year. with the occupancy statistics as the trend for the current year is an increase in hotel occupancy rates
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