Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity ( Sentinel, May 19, 2018). Hotel occupancy data for February in two consecutive years are as follows. Current Year Previous Year Occupled Rooms 1,476 1,404 Total Rooms 1,800 1,800 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 period. Let pi = population proportion of rooms occupied for current year Pa = population proportion of rooms occupied for previous year Ho : P1 - Pa -Select your answer :Pi - Pa Select your answer- b. What is the estimated proportion of hotel

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**Homework 6 (Chapter 10) - Part A**

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        | 1,476            | 1,404             |
| Total Rooms           | 1,800            | 1,800             |

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

\( H_0: p_1 - p_2 = \) [Select your answer]
\( H_a: p_1 - p_2 > \) [Select your answer]

b. **What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)?**

- 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?
- [Select your answer] 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)?**

Do you think area officials would be pleased with the results?
- Officials would likely be [Select your answer] with the occupancy statistics as the trend for the current year is [Select your answer] in hotel occupancy rates compared to last year.
Transcribed Image Text:**Homework 6 (Chapter 10) - Part A** 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 | 1,476 | 1,404 | | Total Rooms | 1,800 | 1,800 | 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 current year - \( p_2 \) = population proportion of rooms occupied for previous year \( H_0: p_1 - p_2 = \) [Select your answer] \( H_a: p_1 - p_2 > \) [Select your answer] b. **What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)?** - 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? - [Select your answer] 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)?** Do you think area officials would be pleased with the results? - Officials would likely be [Select your answer] with the occupancy statistics as the trend for the current year is [Select your answer] in hotel occupancy rates compared to last year.
**Statistics 2305 Homework 6 (Chapter 10) - Part A**

a. \( H_0 : p_1 = p_2 \) 
   
   \( H_a : p_1 \neq p_2 \) 

   - Select your answer.

b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)?

   - Current year: [Input box]
   - Previous Year: [Input box]

c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B.

   - \( p\text{-value} = \) [Input box]

   Using a 0.05 level of significance, what is your conclusion?

   - We [Select your answer] 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)?

   - [Input box]

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

   - Officials would likely be [Select your answer] with the occupancy statistics as the trend for the current year is [Select your answer] in hotel occupancy rates compared to last year.

---

[Instructions for using Appendix B and notes on significance levels are likely included on the educational website.]

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Transcribed Image Text:**Statistics 2305 Homework 6 (Chapter 10) - Part A** a. \( H_0 : p_1 = p_2 \) \( H_a : p_1 \neq p_2 \) - Select your answer. b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)? - Current year: [Input box] - Previous Year: [Input box] c. Conduct a hypothesis test. What is the p-value (to 4 decimals)? Use Table 1 from Appendix B. - \( p\text{-value} = \) [Input box] Using a 0.05 level of significance, what is your conclusion? - We [Select your answer] 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)? - [Input box] e. Do you think area officials would be pleased with the results? - Officials would likely be [Select your answer] with the occupancy statistics as the trend for the current year is [Select your answer] in hotel occupancy rates compared to last year. --- [Instructions for using Appendix B and notes on significance levels are likely included on the educational website.] **Question 1 of 4** Buttons: - Save - Submit Assignment for Grading
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