We can use test for tables larger than 2x 2, so you will be doing a 3x3. For our

Question

We can use test for tables larger than 2x 2, so you will be doing a 3x3. For our purposes you will be examining whether there is relationship between religion and child rearing. You have three random samples: 32 Protestants, 30 Catholics, and 27 Jews. You will categorize them into permissive, moderate and authoritarian child rearing types. Conduct a hypothesis test at a .05. The data is provided below. Ho: There in no relationship between childrearing styles and chosen religion. false Child rearing Protestant Catholic ewish Total Permissive 7 9 14 30 Moderate 10 10 8 28 Authoritarian 15 11 TS 31 Total 32 30 27 89 Calculate (e) for each cell and complete Hypothesis test starting with your decision rule. Homework 11: Page 2

Explanation / Answer

formula:

Observed Protestant Catholic Jewish Permissive 7 9 14 30 Moderate 10 10 8 28 Authoritarian 15 11 5 31 32 30 27 89 Expected Protestant Catholic Jewish Permissive 11 10 9 Moderate 10 9 8 Authoritarian 11 10 9 Chi-sq Protestant Catholic Jewish Permissive 1 0 3 Moderate 0 0 0 Authoritarian 1 0 2 Chi-sq total= 8 Chi-sq critical= 0.710723 conclusion: chi-sq>chi-sq critical; reject H0; yes, there is relationship between childbearing style & religion

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