2. The National Center for Education Statistics monitors aspects of elementary and secondary education nationwide. Their 1996 numbers are often used as a baseline to assess changes. In 1996, 31% of students reported that their mothers had graduated from college. In 2000, responses from 8368 students found this figure to be 32%. At = 0.05, is this evidence of a change in education level among mothers?

a) State the null and alternative hypotheses.

b) Is this test left-tailed, right-tailed, or two-tailed?

c) Find the standardized test statistic. Round your answer to two decimal places.

d) Use the -table to find the critical value(s).

e) Use the standard normal table to find the -value.

f) State your conclusion in context.

g) Are the results statistically significant at = 0.05?

h) What error could have been made in part ftype I or II?