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?
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?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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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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