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%         131         Asian 3%         31         Anglo 38%         470         Latino/Latina 41%         510         Native American 6%         60         All others 2%         13         Using a 1% level of significance, test the claim that the census distribution and the sample distribution agree. A) 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.) B) Estimate the P-value of the sample test statistic. C) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories?

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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%         131        
Asian 3%         31        
Anglo 38%         470        
Latino/Latina 41%         510        
Native American 6%         60        
All others 2%         13        

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

A) 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.)

B) Estimate the P-value of the sample test statistic.

C) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis that the population fits the specified distribution of categories?

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