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14. Educated mothers. The National Center for
Chapter 20, Problem 14(choose chapter or problem)
14. Educated mothers. The National Center for EducationStatistics monitors many aspects of elementary and secondaryeducation nationwide. Their 1996 numbers are oftenused as a baseline to assess changes. In 1996, 31% ofstudents reported that their mothers had graduated fromcollege. In 2000, responses from 8368 students found thatthis figure had grown to 32%. Is this evidence of a changein education level among mothers?a) Write appropriate hypotheses.b) Check the assumptions and conditions.c) Perform the test and find the P-value.d) State your conclusion.e) Do you think this difference is meaningful? Explain.
Questions & Answers
QUESTION:
14. Educated mothers. The National Center for EducationStatistics monitors many aspects of elementary and secondaryeducation nationwide. Their 1996 numbers are oftenused as a baseline to assess changes. In 1996, 31% ofstudents reported that their mothers had graduated fromcollege. In 2000, responses from 8368 students found thatthis figure had grown to 32%. Is this evidence of a changein education level among mothers?a) Write appropriate hypotheses.b) Check the assumptions and conditions.c) Perform the test and find the P-value.d) State your conclusion.e) Do you think this difference is meaningful? Explain.
ANSWER:Step 1 of 4
(a)
The hypothesis is based on the information given in the task. The null hypotheses could be written:
And the alternative hypothesis is:
