Dear Tutor, need your assistance on below question. Thank you in advance

A real estate agent believes that homes with swimming pools take longer to sell than 5 At 5% significance level, the decision is to homes without swimming pools. A random sample of each type of recently sold homes was taken where the number of days on the market is recorded. Results are as follow: A. reject He; we can conclude that homes with swimming pools take longer to sell than homes without swimming pools B. reject He; we cannot conclude that homes with swimming pools take longer to sell Homes with pool Homes without pool than homes without swimming pools $1 = 77 days X2 = 65 days C. do not reject Hey we can conclude that homes with swimming pools take longer to sell than homes without swimming pools $1 = 8.4 days $2 = 7.2 days D. do not reject He; we cannot conclude that homes with swimming pools take longer m = 19 n2 = 23 to sell than homes without swimming pools Assuming that the populations are normally distributed and the variances are equal, conduct the appropriate hypothesis test to determine if the real estate agent is correct. Assume that Population 1 is defined as homes with pool and Population 2 is defined as homes without pool. 1. Form appropriate hypotheses for the hypothesis test. A. Ho; Hi - (2 = 0 HA: HI - 12 # 0 B. Haj Js - (2 2 0 HA: HI - 12 0 D. Ho: Hi -(2