The crisis in the real estate market caused the listing prices of homes in certain areas to fall from previous years. A real estate ofce would like to sample 54 new listings randomly to test the hypothesis that the current listing price average is less than $244,000, the average in the previous year. Assume the standard deviation for the price of homes in this market is $44,000. Complete parts a through d below. a. Explain how Type | and Type II errors can occur in this hypothesis test. AType I error can occur if the average listing price is Y $244,000 and the null hypothesis is rejected. AType ll error can occur if the average listing price is : $244,000 and the null hypothesis is not rejected. b. Using or = 0.10, calculate the probability of a Type II error occurring if the actual average listing is $225,000. The probability of committing a Type II error is |:. (Round to three decimal places as needed.) c. Using 0: = 0.05, calculate the probability of a Type II error occurring if the actual average listing is $225,000. The probability of committing a Type II error is D. (Round to three decimal places as needed.) d. Explain the differences in the results calculated in parts b and c. Choose the correct answer below. 0 A. Reducing the value of (x increases the probability of a Type II error occurring. 0 B. Reducing the value of (1 decreases the probability of a Type II error occurring. 0 C. Changing the value of a does not change the probability of a Type II error occurring. 0 D. Increasing the value of or increases the probability of a Type II error occurring