Hypothesis testing#446
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📝 Hypothesis Testing: Housing Prices and Proximity to Amenities
In this analysis, we examine whether houses located close to essential amenities are more expensive than those located farther away. Specifically, we test whether neighborhoods situated within a distance of 0.50 units from either a school or a hospital have higher median house values compared to those that are farther away.
Euclidean distance was used to calculate the distance between each neighborhood and the given school and hospital coordinates. Based on this distance, the dataset was divided into two independent groups: houses considered close to an amenity and houses considered far from both amenities.
A one-tailed independent two-sample t-test (Welch’s t-test) was conducted at a 5% significance level to compare the mean median house values between these two groups. This test is appropriate as the two samples are independent, the target variable is continuous, and population variances are unknown.
The results indicate that houses close to a school or hospital have a higher average median house value than houses located farther away. With a p-value below the 0.05 significance threshold, we reject the null hypothesis, providing statistical evidence that proximity to key amenities is associated with higher housing prices.