In: Statistics and Probability
5. 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 from the university 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. Calculate the value for the test statistic and chi-square and briefly discuss the results.
Let's write null hypothesis ( H0 ) and the alternative hypothesis ( H1 )
H0 : The data fit the given distribution
H1 : The data does not fit the given distribution
Let's use excel:
The formula used on the above excel sheet are as follows: