Home Prices According to the almanac, the average sales price of a single-family home in the metropolitan Dallas/Ft. Worth/Irving, Texas, area is $ 143,800. The average home price in Orlando, Florida, is $ 134,700. The mean of a random sample of 42 homes in the Texas metroplex was $ 152,148 with a population standard deviation of $30,494. In the Orlando, Florida, area of a sample of 49 homes had a mean price of $ 141,779 with a population standard deviation of $31,767. At the 0.10 level of significance, can it be concluded that the mean price in Dallas exceeds the mean price in Orlando? Use the P-value method and TI- 83 Plus/TI-84 Plus calculator; let u be the mean for the Texas metroplex. Part: 0 / 4 Part 1 of 4 (a) State the hypotheses and identify the claim with the correct hypothesis. Ho : (Choose one) 0 0=0 H1 : (Choose one) H2 This hypothesis test is a (Choose one) test. one-tailed X 5 two-tailedPart 2 of 4 (b) Find the P-value. Round the answer to at least four decimal places. P-value = XPart 3 of 4 (c) Make the decision. (Choose one) the null hypothesis. Reject X Do not rejectPart 4 of 4 (d) Summarize the results. There (Choose one) enough evidence to support the claim that the mean price in Dallas exceeds the mean price in Orland is X 5 is not