Census Sample Result Ethnic Origin Percent Black Asian 10% 120 3% 46 Anglo Latino/Latina Native American 38% 483 41% 492 6% 62 All others 2% 12
The accuracy of a census report on a city in 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 below.
Using a 1% level of significance, test the claim that the census distribution and the sample distribution agree.
(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)
What are the degrees of freedom?
(c) Estimate the P-value of the sample test statistic.
a) P-value > 0.100
b) 0.050 < P-value < 0.100
c) 0.025 < P-value < 0.050
d) 0.010 < P-value < 0.025
e) 0.005 < P-value < 0.010
f) P-value < 0.005
a) Since the P-value > α, we fail to reject the null hypothesis.
b) Since the P-value > α, we reject the null hypothesis.
c) Since the P-value ≤ α, we reject the null hypothesis.
d) Since the P-value ≤ α, we fail to reject the null hypothesis.
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