A random sample of 100 students is selected from the large student population at Eastern Colorado State University. A second sample, this one of size 200, is selected from the large student population at Western Colorado State University. A third sample, also of size 200, is taken from Southern Colorado State University. The table below shows the number of males and the number of females in the three samples.

You plan to use a chi square test to test the null hypothesis that the student populations at the three schools contain the same proportion of male students.
a. Below is the table for EXPECTED results if the null hypothesis is true. Fill in the table. Begin in the upper left hand cell and enter the expected number of male students in the East State sample if the null hypothesis is true.

b. Compute the proper chi square value by comparing observed and expected values.
c. Use a significance level of .05 for your test and report your conclusion.

Transcribed Image Text:

OBSERVED Sample Results School Eastern CO Westen CO Southern CO Total Male 41 94 100 235 Female 59 106 100 265 Total 100 200 200 500 EXPECTED Sample Results Male Female Total School East State West State South State Total 100 200