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 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? 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? 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. Do not reject H0. There is insufficient 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.

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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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

H_a: p₁ − p₂ < 0

H₀: p₁ − p₂ ≠ 0

H_a: p₁ − p₂ = 0

H₀: p₁ − p₂ ≤ 0

H_a: p₁ − p₂ > 0

H₀: p₁ − p₂ < 0

H_a: p₁ − p₂ = 0

H₀: p₁ − p₂ = 0

H_a: 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?

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. Do not reject

H₀.

There is insufficient 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.)

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

The 95% confidence interval zero. This suggests that the occupancy rates for the current year are than the occupancy rates for the previous year, therefore the officials would pleased with the results.

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