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 1,458 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? current ( ) previous ( ) (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 sufficient 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 insufficient 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 or is completely below zero). This suggests that the occupancy rates for the current year are ---Select--- (higher or lower) than the occupancy rates for the previous year, therefore the officials would ---Select--- (not be or be) pleased with the results.
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 1,458 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? current ( ) previous ( ) (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 sufficient 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 insufficient 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 or is completely below zero). This suggests that the occupancy rates for the current year are ---Select--- (higher or lower) than the occupancy rates for the previous year, therefore the officials would ---Select--- (not be or be) pleased with the results.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 | 1,458 |
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?
current ( )
previous ( )
(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 sufficient 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 insufficient 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 or is completely below zero). This suggests that the occupancy rates for the current year are ---Select--- (higher or lower) than the occupancy rates for the previous year, therefore the officials would ---Select--- (not be or be) pleased with the results.
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