# 4. 10 points) In a sample of adults, the number of years of schooling completed was...

###### Question:

4.

1. 10 points) In a sample of adults, the number of years of schooling completed was noted for the respondents and their mothers.
 Mother’s highest school year completed Respondent’s highest school year completed 15 13 6 9 9 12 16 16 12 12 18 16 12 13 14 13 14 18

1. Test whether there is a linear relationship between a respondent’s highest school year completed and his or her mother’s highest school year completed.
2. Calculate the correlation coefficient, and interpret both its strength and direction.
• For each hypothesis test, you must state (a) hypotheses, (b) test statistic, p-value, (c) rejection rule, and (d) both parts of the conclusion. It is only necessary to calculate the effect size if the problem calls for it. Use a .05 level of significance for all hypothesis tests. Use StatCrunch to complete all hypothesis tests and confidence intervals. Make sure you copy and paste the relevant output for the solutions.

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