Current Year Previous Year Occupied Rooms 1,505 1,411 Total Rooms 1,750 1,700
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Question
![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
1,505
1,411
Total Rooms
1,750
1,700
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 : Pi - p2 greater than 0
b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)?
Current year
.86
Previous Year
.83
c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B.
p-value =
.5040
Using a 0.05 level of significance, wha
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)?
to
Do you think area officials would be pleased with the results?
Officials would likely be pleased
with the occupancy statistics as the trend for the current year is an increase
in hotel occupancy rates compared to last year.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F01105c61-16b2-4ed7-8b58-345531cf6846%2F5814245f-1620-4d8c-b21c-7c1e50671001%2F8gx86a_processed.png&w=3840&q=75)
Transcribed Image Text: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
1,505
1,411
Total Rooms
1,750
1,700
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 : Pi - p2 greater than 0
b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)?
Current year
.86
Previous Year
.83
c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B.
p-value =
.5040
Using a 0.05 level of significance, wha
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)?
to
Do you think area officials would be pleased with the results?
Officials would likely be pleased
with the occupancy statistics as the trend for the current year is an increase
in hotel occupancy rates compared to last year.
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