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 Black Asian Anglo Latino/Latina Native American All others Census Percent 10% 3% 38% 41% 6% 2% Sample Result 129 34 463 511 65 13 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? 0.01 State the null and alternate hypotheses. O Họ: The distributions are different. H1: The distributions are the same. Họ: The distributions are the same. H1: The distributions are the same. Ho: The distributions are different. H1: The distributions are different. O Ho: The distributions are the same. H1: 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? Yes No What sampling distribution will you use? chi-square normal uniform binomial Student's t What are the degrees of freedom?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 2E
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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
Black
Asian
Anglo
Latino/Latina
Native American
All others
Census Percent
10%
3%
38%
41%
6%
2%
Sample Result
129
34
463
511
65
13
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?
0.01
State the null and alternate hypotheses.
O Họ: The distributions are different.
H1: The distributions are the same.
Họ: The distributions are the same.
H1: The distributions are the same.
Ho: The distributions are different.
H1: The distributions are different.
O Ho: The distributions are the same.
H1: 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?
Yes
No
What sampling distribution will you use?
chi-square
normal
uniform
binomial
Student's t
What are the degrees of freedom?
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. Ethnic Origin Black Asian Anglo Latino/Latina Native American All others Census Percent 10% 3% 38% 41% 6% 2% Sample Result 129 34 463 511 65 13 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? 0.01 State the null and alternate hypotheses. O Họ: The distributions are different. H1: The distributions are the same. Họ: The distributions are the same. H1: The distributions are the same. Ho: The distributions are different. H1: The distributions are different. O Ho: The distributions are the same. H1: 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? Yes No What sampling distribution will you use? chi-square normal uniform binomial Student's t What are the degrees of freedom?
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