Chi square test The Office of the University Registrar of University of Mapua would like to know if the degree programs offered in College of Science and Mathematics are equally preferred by students. Furthermore, the office would like to know if such degree programs are related to the gender of the students. Using the data on the number of currently enrolled students in each gender (Male or Female) in each of the four degree programs considered, perform the following indicated test.

Test if the preference on degree programs is related to the gender of students, at =0.10.

1. What is the null and alternative hypothesis?

2. What is the critical value in the decision rule?

3.

Supposed the data gathered from the OUR of University are as follows:

Gender	BS Biology	BS Food Technology	BS Computer Science	BS Applied Mathematics
Male	10	6	21	8
Female	22	15	11	12

Fill out the following table. Round off to the nearest hundredths. Compute for the expected values, E_ij.

Eij=grandtotalrowsumcolumnsum

Gender	BS Biology	BS Food Technology	BS Computer Science	BS Applied Mathematics
Male
Female

For each cell of the next table, compute for:

Ei(OiEi)2

Gender	BS Biology	BS Food Technology	BS Computer Science	BS Applied Mathematics
Male
Female

From the table above, compute the value of the chi-square statistic.

xc2=