This data originally came from the article by Michael D. Smith, \"Sociodemo-grap
ID: 3236125 • 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 claimed that 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
Answer:
Ho: Age distribution is same as Toronto women.
H1: Age distribution is not same as Toronto women.
Goodness of Fit Test
observed
expected
O - E
(O - E)² / E
103
88.200
14.800
2.483
216
245.000
-29.000
3.433
171
156.800
14.200
1.286
Total
490
490.000
7.202
7.202
chi-square
2
df
.0273
p-value
Calculated chi square =7.202 > 5.991 the critical value.
Ho is rejected.
We conclude that the sample does not provide good match to the known age distribution of Toronto women.
Goodness of Fit Test
observed
expected
O - E
(O - E)² / E
103
88.200
14.800
2.483
216
245.000
-29.000
3.433
171
156.800
14.200
1.286
Total
490
490.000
7.202
7.202
chi-square
2
df
.0273
p-value