In the past 35 of the students at ABC University were in the

In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College. To see whether or not the proportions have changed, a sample of 300 students was taken. Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College. The p-value is

Solution

Doing an observed/expected value table,          

O   E   (O - E)^2/E  
90   105   2.142857143  
120   105   2.142857143  
90   90   0  
          
Using chi^2 = Sum[(O - E)^2/E],          
          
chi^2 =    4.285714286   [ANSWER]