Question: Educated mothers. The National Center for Education Statistics monitors many 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 that this figure had grown to \(32 \%\). Is this evidence of a change in education level among mothers?

1. Write appropriate hypotheses.
2. Check the assumptions and conditions.
3. Perform the test and find the P-value.
4. State your conclusion.
5. Do you think this difference is meaningful? Explain.

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