(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 Họ: The distributions are different. H: The distributions are the same. O Họ: The distributions are the same. Hạ: The distributions are different. O Ho: The distributions are different. Hq: The distributions are different. (b) Find the value of the chi-square statistic for the sample. (Ro Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O student's t O normal O binomial O chi-square O uniform What are the degrees of freedom? (c) Estimate the P-value of the sample test statistic.
(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 Họ: The distributions are different. H: The distributions are the same. O Họ: The distributions are the same. Hạ: The distributions are different. O Ho: The distributions are different. Hq: The distributions are different. (b) Find the value of the chi-square statistic for the sample. (Ro Are all the expected frequencies greater than 5? O Yes O No What sampling distribution will you use? O student's t O normal O binomial O chi-square O uniform What are the degrees of freedom? (c) Estimate the P-value of the sample test statistic.
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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.
![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 <a, we reject the null hypothesis.
O Since the P-value sa, we fail to reject the null hypothesis.
(e) Interpret your conclusion in the context of the application.
O At the 1% level of significance, the evidence is sufficient to conclude that census distribution and the ethnic origin distribution of city residents are different.
O At the 1% level of significance, the evidence is insufficient to conclude that census distribution and the ethnic origin distribution of city residents are different.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb372f248-5eb0-480b-bfaf-0f34e24e3b8f%2F881adf9c-5d65-4482-9039-7e745abdcdba%2Fmmirks_processed.png&w=3840&q=75)
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.
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 <a, we reject the null hypothesis.
O Since the P-value sa, we fail to reject the null hypothesis.
(e) Interpret your conclusion in the context of the application.
O At the 1% level of significance, the evidence is sufficient to conclude that census distribution and the ethnic origin distribution of city residents are different.
O At the 1% level of significance, the evidence is insufficient to conclude that census distribution and the ethnic origin distribution of city residents are different.
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