You may need to use the appropriate technology to answer this 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). Hotel occupancy data for February in two consecutive years are as follows. Current Year Previous Year Occupied Rooms 1,470 1458 Total 1,750 1,800 Rooms (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 p, = population proportion of rooms occupled for current year and p, = population proportion of rooms occupled for previous year) N P-P0 H P - P=0 HP-P> 0 Hại P, - P0 HP- P-0 O Moi P - P 2o H P-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 prvalue? (Round your answer to four decimal places.) p-value - Using a 0.05 level of significance, what is your hypothesis test conclusion? O Reject H. There is sufficient evidence to conclude that there has been an increase in the hotel occupancy rate. O Do not reject Ha. There is insufficient evidence to conclude that there has been an increase in the hotel occupancy rate. O Reject Ha. There is insufficient evidence to conclude that there has been an increase in the hotel occupangy rate. O Do not reject Ha. 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 v zero. This suggests that the occupancy rates for the current year are Select than the occupancy rates for the previous year, therefore the officials would Selectv pleased with the results.
You may need to use the appropriate technology to answer this 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). Hotel occupancy data for February in two consecutive years are as follows. Current Year Previous Year Occupied Rooms 1,470 1458 Total 1,750 1,800 Rooms (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 p, = population proportion of rooms occupled for current year and p, = population proportion of rooms occupled for previous year) N P-P0 H P - P=0 HP-P> 0 Hại P, - P0 HP- P-0 O Moi P - P 2o H P-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 prvalue? (Round your answer to four decimal places.) p-value - Using a 0.05 level of significance, what is your hypothesis test conclusion? O Reject H. There is sufficient evidence to conclude that there has been an increase in the hotel occupancy rate. O Do not reject Ha. There is insufficient evidence to conclude that there has been an increase in the hotel occupancy rate. O Reject Ha. There is insufficient evidence to conclude that there has been an increase in the hotel occupangy rate. O Do not reject Ha. 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 v zero. This suggests that the occupancy rates for the current year are Select than the occupancy rates for the previous year, therefore the officials would Selectv pleased with the results.
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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Transcribed Image Text:You may need to use the appropriate technology to answer this 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). Hotel occupancy data for February in two consecutive years are as follows.
Current Year
Previous Year
Occupied
1,470
1,458
Rooms
Total
1,750
1,800
Rooms
(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 p, = population proportion of rooms occupied for current year and p, = population proportion of rooms occupied for previous year.)
Ho: P1- P2 = 0
Ha: P1 - P2 * 0
O Ho: P1 - P2 < 0
Ha: P1 - P2 = 0
Hoi P1 - P2 s0
Hai P1 - P2 > 0
O Ho: P1 - P2 * 0
Hai P1 - P2 = 0
O Ho: P1 - P2 2 o
Hai 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?
O Reject H. There is sufficient evidence to conclude that there has been an increase in the hotel occupancy rate.
O Do not reject Ho. There is insufficient evidence to conclude that there has been an increase in the hotel occupancy rate.
O Reject H,. There is insufficient evidence to conclude that there has been an increase in the hotel occupancy rate.
O Do not reject H,. 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--
v zero. This suggests that the occupancy rates for the current year are --Select--- v than the occupancy rates for the previous year, therefore the officials would --Select--
pleased with the results.
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