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...

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.

Extracted 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. Sample Result Census Ethnic Origin Percent Black 10% 120 Asian 3% 32 Anglo Latino/Latina Native American All others 38% 498 41% 491 6% 62 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. O Ho: The distributions are the same. H: The distributions are the same. O Hn: The distributions are different. H,: The distributions are the same. O Ho: The distributions are the same. H,: The distributions are different. O Ho: The distributions are different. H,: The distributions are different. (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.) Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O Student's t O normal binomial O chi-square O uniform What are the degrees of freedom? (c) Estimate the P-value of the sample test statistic. O p-value > 0.100 O 0.050 < p-value="">< 0.100="" o="" 0.025="">< p-value="">< 0.050="" o="" 0.010="">< p-value="">< 0.025="" o="" 0.005="">< p-value="">< 0.010="" o="" p-value="">< 0.005="" (d)="" 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?="" o="" since="" the="" p-value=""> a, we fail to reject the null hypothesis. O since the P-value > a, we reject the null hypothesis. O since the P-value