The following table shows the ethnic origins of two random samples of students from a Canadian university, one from 2012 and the other from 2022: 2012 European Asian 308 58 364 100 Note: Canadian born students are classified according to their ancestry. (a) What would be an appropriate test to check if there has been an overall change in the distribution of ethnic origins among the student population of that university between 2012 and 2022? Justify your answer. ] African 2022 Other 22 38 52 58 (b) Based on your answer in (a) above, test whether there has been an overall change in the distribution of ethnic origins among the student population of that university between 2012 and 2022. Use a 5% significance level and show your detailed manual calculations and all the steps of your hypothesis test (hypotheses, significance level, expected cell frequencies (rounded to 1 decimal), test statistic, decision criteria, critical value and p-value, conclusion with justification). (Manual Calculation (c) Now, suppose you want to test whether the distribution of ethnic origin among this student population in 2022 was consistent with the following ratios for all Canadian universities in 2022: European 75%, Asian 10%, African 5%, and other 10%. Use StatCrunch and conduct an appropriate test using a 1% significance level and report your hypothesis, test statistic, decision criteria (using p-value) and conclusion (Show your detailed StatCrunch Output
The following table shows the ethnic origins of two random samples of students from a Canadian university, one from 2012 and the other from 2022: 2012 European Asian 308 58 364 100 Note: Canadian born students are classified according to their ancestry. (a) What would be an appropriate test to check if there has been an overall change in the distribution of ethnic origins among the student population of that university between 2012 and 2022? Justify your answer. ] African 2022 Other 22 38 52 58 (b) Based on your answer in (a) above, test whether there has been an overall change in the distribution of ethnic origins among the student population of that university between 2012 and 2022. Use a 5% significance level and show your detailed manual calculations and all the steps of your hypothesis test (hypotheses, significance level, expected cell frequencies (rounded to 1 decimal), test statistic, decision criteria, critical value and p-value, conclusion with justification). (Manual Calculation (c) Now, suppose you want to test whether the distribution of ethnic origin among this student population in 2022 was consistent with the following ratios for all Canadian universities in 2022: European 75%, Asian 10%, African 5%, and other 10%. Use StatCrunch and conduct an appropriate test using a 1% significance level and report your hypothesis, test statistic, decision criteria (using p-value) and conclusion (Show your detailed StatCrunch Output
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question
![The following table shows the ethnic origins of two random samples of students from a
Canadian university, one from 2012 and the other from 2022:
European
2012
2022
African
Asian
308
58
52
364
100
58
Note: Canadian born students are classified according to their ancestry.
(a) What would be an appropriate test to check if there has been an overall change in the
distribution of ethnic origins among the student population of that university between 2012
and 2022? Justify your answer. ]
Other
22
38
(b) Based on your answer in (a) above, test whether there has been an overall change in
the distribution of ethnic origins among the student population of that university between
2012 and 2022. Use a 5% significance level and show your detailed manual
calculations and all the steps of your hypothesis test (hypotheses, significance level,
expected cell frequencies (rounded to 1 decimal), test statistic, decision criteria,
critical value and p-value, conclusion with justification). (Manual Calculation
(c) Now, suppose you want to test whether the distribution of ethnic origin among this
student population in 2022 was consistent with the following ratios for all Canadian
universities in 2022: European 75%, Asian 10%, African 5%, and other 10%. Use
StatCrunch and conduct an appropriate test using a 1% significance level and report
your hypothesis, test statistic, decision criteria (using p-value) and conclusion (Show
your detailed StatCrunch Output -¯¯](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4bd2784d-4287-49bd-af4e-8a733cdf6b94%2Fd9afedc7-acda-4da4-8690-671404ef6e25%2F75iwg5m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The following table shows the ethnic origins of two random samples of students from a
Canadian university, one from 2012 and the other from 2022:
European
2012
2022
African
Asian
308
58
52
364
100
58
Note: Canadian born students are classified according to their ancestry.
(a) What would be an appropriate test to check if there has been an overall change in the
distribution of ethnic origins among the student population of that university between 2012
and 2022? Justify your answer. ]
Other
22
38
(b) Based on your answer in (a) above, test whether there has been an overall change in
the distribution of ethnic origins among the student population of that university between
2012 and 2022. Use a 5% significance level and show your detailed manual
calculations and all the steps of your hypothesis test (hypotheses, significance level,
expected cell frequencies (rounded to 1 decimal), test statistic, decision criteria,
critical value and p-value, conclusion with justification). (Manual Calculation
(c) Now, suppose you want to test whether the distribution of ethnic origin among this
student population in 2022 was consistent with the following ratios for all Canadian
universities in 2022: European 75%, Asian 10%, African 5%, and other 10%. Use
StatCrunch and conduct an appropriate test using a 1% significance level and report
your hypothesis, test statistic, decision criteria (using p-value) and conclusion (Show
your detailed StatCrunch Output -¯¯
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