Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported measure of visitor volume and visitor activity (Urlando Sentinel). Hotel occupancy data 18F FeDrualy n LWU LUIISULOIVE yeais aIE Current Year Previous Year Occupied Rooms 1,470 1,458 Total 1,750 1,800 Rooms (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 p, = population proportion of rooms occupied for current year and P2 = population proportion of rooms occupied for previous year.) Ho: P1-P220 Hai P1- P2 0 Ho: P1- P25 0 H P1- P2 > 0 o Ho: P1- P2 < 0 H: P1 P2 = 0 Ho: P1-P2 = 0 H: P1-P2 0 o Ho: P1-P2 o H P1-P2 = 0 (b) What is the estimated proportion of hotel rooms occupied each year? current previous (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? O Do not reject Ho: There is insufficient evidence to conclude that there has been an increase in the hotel occupancy rate. O Reject Ho: There is sufficient evidence to conclude that there has been an increase in the hotel occupancy rate. O Do not reject Ho. There is sufficient evidence to conclude that there has been an increase in the hotel occupancy rate. O Reject Ho: There is insufficient evidence to conclude that

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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.
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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