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 19, 2018). Hotel occupancy data for February in two consecutive years are as follows. Previous Year Occupied Rooms Total Rooms Current Year 1,505 1,750 1,577 1,900 a. Formulate the hypothesis test that can be used to determine whether 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 P2 = population proportion of rooms occupied for previous year Ho: P1 - P2 less than or equal to 0 He: P₁ P2 greater than 0 b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)? X Current year Previous Year c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. p-value = Using a 0.05 level of significance, what is your conclusion? We can 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 (to 4 decimals)? to Do you think area officials would be pleased with the results? Officials would likely be pleased ♡ with the occupancy statistics as the trend for the current year is in hotel occupancy rat compared to last year an increase

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### Tourism and Hotel Occupancy in Florida: Analyzing Yearly Data

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 19, 2018). Hotel occupancy data for February in two consecutive years are as follows:

|                | **Current Year** | **Previous Year** |
|----------------|------------------|-------------------|
| **Occupied Rooms** | 1,505            | 1,577             |
| **Total Rooms**     | 1,750            | 1,900             |

#### Formulating Hypothesis Test
a. Formulate the hypothesis test that can be used to determine whether there has been an increase in the proportion of rooms occupied over the one-year period.

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

The hypotheses are:

\( H_0 \): \( p_1 - p_2 \) \( \leq 0 \)  
\( H_a \): \( p_1 - p_2 \) \( > 0 \)

See the graphical checkmarks for correct hypothesis symbols and explanations.

#### Proportion of Hotel Rooms Occupied Each Year
b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)?

- **Current year:**
- **Previous Year:**

#### Conducting the Hypothesis Test
c. Conduct a hypothesis test. What is the *p*-value (to 4 decimals)? Use Table 1 from [Appendix B](#).

- **p-value:** 

Using a 0.05 level of significance, make a conclusion:

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

#### Confidence Interval for Change in Occupancy
d. What is the 95% confidence interval estimate of the change in occupancy for the one-year period (to 4 decimals)?

- from 
- to 

Finally, considering the results:

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

- Officials would likely be pleased with the occupancy statistics as the trend for the current year is an increase in hotel occupancy rates compared to last year.

This analysis and these educational steps guide you through understanding the variation in hotel occupancy which hints at underlying tourism trends.
Transcribed Image Text:### Tourism and Hotel Occupancy in Florida: Analyzing Yearly Data 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 19, 2018). Hotel occupancy data for February in two consecutive years are as follows: | | **Current Year** | **Previous Year** | |----------------|------------------|-------------------| | **Occupied Rooms** | 1,505 | 1,577 | | **Total Rooms** | 1,750 | 1,900 | #### Formulating Hypothesis Test a. Formulate the hypothesis test that can be used to determine whether there has been an increase in the proportion of rooms occupied over the one-year period. Let \( p_1 \) = population proportion of rooms occupied for the current year Let \( p_2 \) = population proportion of rooms occupied for the previous year The hypotheses are: \( H_0 \): \( p_1 - p_2 \) \( \leq 0 \) \( H_a \): \( p_1 - p_2 \) \( > 0 \) See the graphical checkmarks for correct hypothesis symbols and explanations. #### Proportion of Hotel Rooms Occupied Each Year b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)? - **Current year:** - **Previous Year:** #### Conducting the Hypothesis Test c. Conduct a hypothesis test. What is the *p*-value (to 4 decimals)? Use Table 1 from [Appendix B](#). - **p-value:** Using a 0.05 level of significance, make a conclusion: We can conclude that there has been an increase in the hotel occupancy rate. #### Confidence Interval for Change in Occupancy d. What is the 95% confidence interval estimate of the change in occupancy for the one-year period (to 4 decimals)? - from - to Finally, considering the results: Do you think area officials would be pleased with the results? - Officials would likely be pleased with the occupancy statistics as the trend for the current year is an increase in hotel occupancy rates compared to last year. This analysis and these educational steps guide you through understanding the variation in hotel occupancy which hints at underlying tourism trends.
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