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 , ). Hotel occupancy data for February in two consecutive years are as follows.   Current Year Previous Year Occupied Rooms 1,512 1,539 Total Rooms 1,800 1,900

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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, May , ). Hotel occupancy data for February in two consecutive years are as follows.

  Current Year Previous Year
Occupied Rooms 1,512 1,539
Total Rooms 1,800 1,900
### Hypothesis Test for Hotel Room Occupancy

#### a. Formulating the Hypothesis Test

To determine if there has been an increase in the proportion of rooms occupied over the past year, we establish the following hypotheses:

- Let \( p_1 \) = population proportion of rooms occupied for the current year
- Let \( p_2 \) = population proportion of rooms occupied for the previous year

**Null Hypothesis (\( H_0 \))**: \( p_1 - p_2 \leq 0 \)  
**Alternative Hypothesis (\( H_a \))**: \( p_1 - p_2 > 0 \)  

#### b. Estimated Proportion of Hotel Rooms Occupied

- **Current Year**: 0.84
- **Previous Year**: 0.81

#### c. Conducting a Hypothesis Test

- **p-value**: 0.0087

Using a 0.05 level of significance, we conclude:

**Conclusion**: We can conclude that there has been an increase in the hotel occupancy rate.

#### d. Confidence Interval for Change in Occupancy

- **95% Confidence Interval**: 0.0023 to 0.0577

#### e. Interpretation for Officials

Officials would likely be pleased with the occupancy statistics as the trend for the current year shows an increase in hotel occupancy rates compared to last year.
Transcribed Image Text:### Hypothesis Test for Hotel Room Occupancy #### a. Formulating the Hypothesis Test To determine if there has been an increase in the proportion of rooms occupied over the past year, we establish the following hypotheses: - Let \( p_1 \) = population proportion of rooms occupied for the current year - Let \( p_2 \) = population proportion of rooms occupied for the previous year **Null Hypothesis (\( H_0 \))**: \( p_1 - p_2 \leq 0 \) **Alternative Hypothesis (\( H_a \))**: \( p_1 - p_2 > 0 \) #### b. Estimated Proportion of Hotel Rooms Occupied - **Current Year**: 0.84 - **Previous Year**: 0.81 #### c. Conducting a Hypothesis Test - **p-value**: 0.0087 Using a 0.05 level of significance, we conclude: **Conclusion**: We can conclude that there has been an increase in the hotel occupancy rate. #### d. Confidence Interval for Change in Occupancy - **95% Confidence Interval**: 0.0023 to 0.0577 #### e. Interpretation for Officials Officials would likely be pleased with the occupancy statistics as the trend for the current year shows an increase in hotel occupancy rates compared to last year.
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