Reference no: EM132851546
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.Ethnic OriginCensus PercentSample ResultBlack 10% 121 Asian 3% 35 Anglo 38% 489 Latino/Latina 41% 500 Native American6% 58 All others 2% 12
Using a 1% level of significance, test the claim that the census distribution and the sample distribution agree.
(a) What is the level of significance?
State the null and alternate hypotheses.
H0: The distributions are the same.
H1: The distributions are different. H0: The distributions are the same.
H1: The distributions are the same. H0: The distributions are different.
H1: The distributions are different. H0: The distributions are different.
H1: The distributions are the same.
(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.)