Refer to the Real Estate Data—Halifax Area online, which reports information on home listings.
a. A recent article indicated that the mean list price of the homes is more than $600000. Can we conclude that the mean list price is more than $600000? Use the 0.01 significance level. What is the p-value? Interpret the p-value.
b. The same article reported the mean size was more than 2100 square feet. Can we conclude that the mean size of homes listed is more than 2100 square feet? Use the 0.01 significance level. What is the p-value? Interpret the p-value.
c. Determine the proportion of homes that are apartments. At the 0.05 significance level, can we conclude that more than 60% of the homes listed are apartments? What is the p-value? Interpret the p-value.
d. Determine the proportion of homes with more than two bedrooms. At the 0.05 significance level, can we conclude that more than 60% of the homes listed have more than two bathrooms? What is the p-value? Interpret the p-value.