The following table contains information about the residency and gender of stude

Question

The following table contains information about the residency and gender of students in the Graduate School of Purdue University in Fall 2017. 4. Male Female Total 1792 Indiana Residents 1077 Out of State Residents International Students 2364 Total 1514 1784 9626 a) b) Complete the missing parts of the contingency table What percent of students in the Graduate School are International Students? Is this a marginal, conditional, or joint probability? What is the probability that randomly chosen grad student is an Indiana Resident and is Male? Is this a marginal, conditional, or joint probability? Among Female graduate students, what proportion have residency in the US? Is this a marginal, conditional, or joint probability? You want to perform a test to find out if there is a relationship between a grad student's gender and the student's residency. State the null and alternative hypotheses of such a test. Create a table of expected counts. Create a table of partial x2 values. What is the value of the x2 statistic? What are its degrees of freedom? Using a significance level of 0.05, state the conclusion of the Chi-Square test in the context of this problem. State your reasoning behind your conclusion. c) d) e) f) g) h) i)

Explanation / Answer

Solution a)

Solution b) percentage of students international students = 2364*100/9626= 24.56%

This is Marginal.

Solution c) Probabilityof getting Indian students and which is male= 1077/9626=0.112.This is conditional probability.

Solution d) The proportion of female students have residency in U.S =715+1514/4013= 0.555 .This is marginal.

Note: I have done the first four. Please Repost rest of the questions along with the complete contingency table. Thank you.

MALE FEMALE TOTAL INDIANA RESIDENTS 1077 1792-1077= 715 1792 OUT OF STATE RESIDENTS 2172 1514 3686 INTERNATIONAL STUDENTS 2364 1784 4148 TOTAL 9626-4013= 5613 715+1514+1784=4013 9626

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