Math Problem Statement
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.
Current Year: Occupied Rooms = 1,440 Total Rooms = 1,800
Previous year : Occupied Rooms = 1,463 Total rooms = 1,900. Conduct a hypothesis test, what is the p value to 4 decimals
Solution
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Math Problem Analysis
Mathematical Concepts
Hypothesis Testing
Two-Proportion Z-Test
P-Value Calculation
Formulas
Occupancy Rate = (Occupied Rooms) / (Total Rooms)
Pooled Proportion = (Occupied Rooms in both years) / (Total Rooms in both years)
Standard Error (SE) = sqrt(p(1-p) * (1/n1 + 1/n2))
Test Statistic (z-value) = (p1 - p2) / SE
Theorems
Central Limit Theorem
Suitable Grade Level
Undergraduate Level Statistics
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