MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Analyzing Hotel Occupancy Rates for Florida's Tourism Economy**

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:

- **Rooms Current Year**
  - Total Rooms: 1,750
  - Occupied Rooms: 1,470

- **Rooms Previous Year**
  - Total Rooms: 1,800
  - Occupied Rooms: 1,458

### Steps to Analyze the Data:

(a) **Formulate the Hypothesis Test**

Determine if there has been an increase in the proportion of rooms occupied over the one-year period. Let \( p_1 \) be the population proportion of rooms occupied for the current year, and \( p_2 \) for the previous year.

Options:
- \( H_0 \): \( p_1 - p_2 = 0 \)
- \( H_1 \): \( p_1 - p_2 > 0 \)
- \( H_0 \): \( p_1 - p_2 \leq 0 \)
- \( H_1 \): \( p_1 - p_2 \neq 0 \)
- \( H_0 \): \( p_1 - p_2 \geq 0 \)
- \( H_1 \): \( p_1 - p_2 < 0 \)

(b) **Estimate the Proportion of Hotel Rooms Occupied Each Year**

Calculate for both the current and previous year.

(c) **Compute the Test Statistic**

Round your answer to two decimal places.

**What is the p-value?**

Round your answer to four decimal places.

**Conclusion Using a 0.05 Level of Significance**

Decide which conclusion applies:
- Do not reject \( H_0 \): There is insufficient evidence to conclude that there has been an increase in the hotel occupancy rate.
- Reject \( H_0 \): There is sufficient evidence to conclude that there has been an increase in the hotel occupancy rate.
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Transcribed Image Text:**Analyzing Hotel Occupancy Rates for Florida's Tourism Economy** 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: - **Rooms Current Year** - Total Rooms: 1,750 - Occupied Rooms: 1,470 - **Rooms Previous Year** - Total Rooms: 1,800 - Occupied Rooms: 1,458 ### Steps to Analyze the Data: (a) **Formulate the Hypothesis Test** Determine if there has been an increase in the proportion of rooms occupied over the one-year period. Let \( p_1 \) be the population proportion of rooms occupied for the current year, and \( p_2 \) for the previous year. Options: - \( H_0 \): \( p_1 - p_2 = 0 \) - \( H_1 \): \( p_1 - p_2 > 0 \) - \( H_0 \): \( p_1 - p_2 \leq 0 \) - \( H_1 \): \( p_1 - p_2 \neq 0 \) - \( H_0 \): \( p_1 - p_2 \geq 0 \) - \( H_1 \): \( p_1 - p_2 < 0 \) (b) **Estimate the Proportion of Hotel Rooms Occupied Each Year** Calculate for both the current and previous year. (c) **Compute the Test Statistic** Round your answer to two decimal places. **What is the p-value?** Round your answer to four decimal places. **Conclusion Using a 0.05 Level of Significance** Decide which conclusion applies: - Do not reject \( H_0 \): There is insufficient evidence to conclude that there has been an increase in the hotel occupancy rate. - Reject \( H_0 \): There is sufficient evidence to conclude that there has been an increase in the hotel occupancy rate.
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