Final answer:
To determine if there is a difference in the mean selling price of homes with a pool and homes without a pool, a hypothesis test can be conducted. Based on the test results, if the p-value is less than the significance level of 0.05, we would conclude that there is a difference in the mean selling price of homes with a pool and homes without a pool.
Step-by-step explanation:
To determine if there is a difference in the mean selling price of homes with a pool and homes without a pool, we can conduct a hypothesis test. We can formulate the null hypothesis (H0) as the mean selling price of homes with a pool is equal to the mean selling price of homes without a pool. The alternative hypothesis (Ha) would be that there is a difference in the mean selling price.
We can then collect data on the selling prices of homes with and without a pool, and perform a t-test (assuming the data meets the assumptions of the test) to determine if there is sufficient evidence to reject the null hypothesis.
Based on the test results, if the p-value is less than the significance level of 0.05, we would reject the null hypothesis and conclude that there is a difference in the mean selling price of homes with a pool and homes without a pool. If the p-value is greater than 0.05, we would fail to reject the null hypothesis and conclude that there is not enough evidence to support a difference in the mean selling price.