Question

In: Advanced Math

Q.Explain the flaws in the following analysis or conclusion. (Note that this is not about chi-squared...

Q.Explain the flaws in the following analysis or conclusion. (Note that this is not about chi-squared test per se, perhaps, it is about what a statistical analysis (hypothesis testing in this case) can tell us and what it cannot) Background - The Scholarship Committee comprises 3 faculty members, one of whom is Professor X. Professor X also wrote recommendation letter for 5 students who took his class earlier and four of them were awarded scholarships (out of a total of six scholarships awarded to graduate students). A student who applied but was not awarded a scholarship accused Professor X of favoritism, claiming that he/she was denied a scholarship despite having a very high GPA because he/she did not take class under Professor X and had declined him/her a recommendation letter. The student then did following statistical analysis as an evidence of favoritism . The student runs a Chisq-test and his result shows not independent between students who took class under Professor X and Students got scholarship. H0: students who get scholarship is independent with whether they have taken class under Professor X H1: not independent # Let total number of students who applied for scholarship is 70, and only 5 people get the scholarship, conservatively estimate only 3 out of 5 students took Class with ProfessorX, the other two selected did not take Class with ProfessorX # chisquare test shows the p-value <0.05, thus we reject H0 at .05 level and conclude students who got scholarship was affected by whether they have class under Professor X #student in addition tests , how about the total applicants were 60, or 80? and find out either case we reject H0, they are not independent.

Solutions

Expert Solution


Related Solutions

Q.Explain the flaws in the following analysis or conclusion. (Note that this is not about chi-squared...
Q.Explain the flaws in the following analysis or conclusion. (Note that this is not about chi-squared test per se, perhaps, it is about what a statistical analysis (hypothesis testing in this case) can tell us and what it cannot) Background - The Scholarship Committee comprises 3 faculty members, one of whom is Professor X. Professor X also wrote recommendation letter for 5 students who took his class earlier and four of them were awarded scholarships (out of a total of...
Q.Explain the flaws in the following analysis or conclusion. (Note that this is not about chi-squared...
Q.Explain the flaws in the following analysis or conclusion. (Note that this is not about chi-squared test per se, perhaps, it is about what a statistical analysis (hypothesis testing in this case) can tell us and what it cannot) Background - The Scholarship Committee comprises 3 faculty members, one of whom is Professor X. Professor X also wrote recommendation letter for 5 students who took his class earlier and four of them were awarded scholarships (out of a total of...
Q.Explain the flaws in the following analysis or conclusion. (Note that this is not about chi-squared...
Q.Explain the flaws in the following analysis or conclusion. (Note that this is not about chi-squared test per se, perhaps, it is about what a statistical analysis (hypothesis testing in this case) can tell us and what it cannot) Background - The Scholarship Committee comprises 3 faculty members, one of whom is Professor X. Professor X also wrote recommendation letter for 5 students who took his class earlier and four of them were awarded scholarships (out of a total of...
Compare the chi-squared test for goodness of fit to the chi-squared test for independence. Be sure...
Compare the chi-squared test for goodness of fit to the chi-squared test for independence. Be sure to mention number of samples and the number of levels of categories for your comparison. Also provide the alternative hypothesis for both.
1.) is there a difference between "2-way Chi-squared" and just "Chi-squared" or are they the same?...
1.) is there a difference between "2-way Chi-squared" and just "Chi-squared" or are they the same? 2.) How do you find the measurement?
Find the critical values chi squared Subscript Upper Lχ2L and chi squared Subscript Upper Rχ2R for...
Find the critical values chi squared Subscript Upper Lχ2L and chi squared Subscript Upper Rχ2R for the given confidence level c and sample size n. cequals=0.980.98​, nequals=2626 chi squared Subscript Upper Lχ2Lequals=nothing ​(Round to three decimal places as​ needed.)
For a Chi-Squared Goodness of Fit Test about a uniform distribution, complete the table and find...
For a Chi-Squared Goodness of Fit Test about a uniform distribution, complete the table and find the test statistic. Round to the fourth as needed. Categories Observed Frequency Expected Frequency 1 23 2 39 3 50 4 32 5 15 6 31 Test Statistic:
The Chi-squared test has been used earlier to test a hypothesis about a population variance. It...
The Chi-squared test has been used earlier to test a hypothesis about a population variance. It is also a hypothesis testing procedure for when one or more variables in the research are categorical (nominal). Chi-squared Goodness of Fit Test Chi-squared Test for Independency Question 1. Describe an example of a research question where a Chi-squared test has been used. Mention the two hypotheses of the problem and display a numerical demonstration of your example. In particular, interpret the test P...
Calculate the test statistic, x^(2), for a chi-squared test for association using the following table. The...
Calculate the test statistic, x^(2), for a chi-squared test for association using the following table. The following data represents the observed values and expected values of the eating habits of runners and swimmers for a random sample of adult athletes. Prefer to eat before workout. Prefer to eat after workout. Total Runner 68 121 189 Swimmer 73 128 201 Total 141 249 390
Show how; Independent t-test , Coefficient of determination, Exploratory factor analysis, Chi-square test, Correlation coefficient, R-squared...
Show how; Independent t-test , Coefficient of determination, Exploratory factor analysis, Chi-square test, Correlation coefficient, R-squared value, Analysis of covariance, Analysis of variance are applied in analysis of quantitative data ( explain in simple English please)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT