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This data originally came from the article by Michael D. Smith, \"Sociodemo- gra

ID: 3236264 • Letter: T

Question

This data originally came from the article by Michael D. Smith, "Sociodemo- graphic risk factors in wife abuse: Results from a survey of Toronto women, " Canadian Journal of Sociology 15 (1), 1990, page 47. Smith claimedthat the sample showed a close match between the age distributions of women in the sample and all women in Toronto between the ages of 20 and 44.This is especially true in the youngest and oldest age brackets. Conduct a chi square goodness of fit test to determine whether the sample does provide a good match to the known age distribution of Toronto women. Use the 0.05 level of significance.

Explanation / Answer

Formula for expected count
Expected count = Total sample count*Pr(that outcome)

Age             Expected Count
20-24           490*0.18 = 88.2
25-34           490*0.50 = 245
35-44           490*0.32 = 156.8