3. The accuracy of a census report on a city is southern California was question

Question

3. The accuracy of a census report on a city is southern California was questioned by some government officials. A random sample of 1215 people living in the city was used to check the report and the results are shown here: Census Percent 10% 3% 38% 41% 6% 2% Sample Result Ethnic Origin African-American Asian Anglo Spanish American Native American All other 127 40 480 502 56 10 Using a 1% level of significance, test the claim that census distribution and sample distribution agree. (Goodness-of-fio

Explanation / Answer

p-value = 0.0177 > 0.01

hence we fail to reject the null hypothesis

p Oi Ei (Oi-Ei)^2/Ei 0.1 127 121.5 0.248971193 0.03 40 36.45 0.345747599 0.38 480 461.7 0.725341131 0.41 502 498.15 0.029755094 0.06 56 72.9 3.917832647 0.02 10 24.3 8.415226337 1 1215 1215 13.682874 10% 1% 5% critical value 11.07049769 9.2363569 15.08627 p-value 0.017754417

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