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. ETT Sample Result Census Ethnic Origin Percent Black 10% 3% 129 Asian 47 Anglo Latino/Latina 38% 465 41% 508 Native American 6% 53 All others 2% 13 Using a 1% level of significance, test the claim that the census distribution and the sample distribution agree.

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(a) What is the level of significance? 

(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?

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.
ETT
Sample
Result
Census
Ethnic Origin
Percent
Black
10%
3%
129
Asian
47
Anglo
Latino/Latina
38%
465
41%
508
Native American
6%
53
All others
2%
13
Using a 1% level of significance, test the claim that the census distribution and the sample distribution agree.
Transcribed Image Text: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. ETT Sample Result Census Ethnic Origin Percent Black 10% 3% 129 Asian 47 Anglo Latino/Latina 38% 465 41% 508 Native American 6% 53 All others 2% 13 Using a 1% level of significance, test the claim that the census distribution and the sample distribution agree.
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