In: Math
A sample of 112 mortgages approved during the current year showed that 44 were issued to a single-earner family or individual. The historical percentage is 36 percent. At the .05 level of significance in a right-tailed test, has the percentage of single-earner or individual mortgages risen? (a-1) H0: π ≤ .36 versus H1: π > .36. Choose the right option. a. Reject H0 if zcalc > 1.645 b. Reject H0 if zcalc < 1.645 a b (a-2) Calculate the test statistic. (Round intermediate calculations to 2 decimal places. Round your answer to 4 decimal places.) Test statistic 1.645 (a-3) The null hypothesis should be rejected. True False (b) Is this a close decision? Yes No (c) State any assumptions that are required. a. nπ < 10 and n(1 − π) > 10 b. nπ < 10 and n(1 − π) < 10 c. nπ > 10 and n(1 − π) > 10 d. nπ > 10 and n(1 − π) < 10 a b c d