The average selling prices for homes in an area is assumed to be $650,000. A researcher is designing a study to determine if the market has improved for buyers and that the average selling price is less than $650,000. The researcher randomly samples 48 homes for sale in the area. The average selling price of the homes is $645,000 with a standard deviation of $20,000. The researcher is going to use a 5% significance level in their study. Give the null and alternative hypothesis. Give the rejection region. Give the test statistic. Give the p-value. Give the conclusion