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 Origin. Census Percent Sample Result

black 10% 130

asian 3% 43

anglo 38% 479

latino/latina 41% 495

Native American 6% 57

all others 2% 11

Using a 1% level of significance, test the claim that the census distribution and the sample distribution agree.

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.)