The average family size was reported as 3.18. A random sample of 24 families in a particular region yielded a sample mean of 3.833333 with a sample standard deviation of 1.434563. Assuming that the size of a family is approximately normally distributed. A 95% confidence interval for family sizes based on this sample data is: 3.227571 < µ < 4.439096. Use this to test the claim that the population mean family size is 3.18 at the 5% level of significance. State your alternate hypothesis and the conclusion of this test.