# Significance of proportions of students

Research at the University of Toledo indicates that 50% of the students change their major area of study after the first year in a program. The random sample ot 100 students in the College of Business revealed that 48 had changed their major area of study after their first year of the program. Has there been a significant decrease in the proportion of students who had changed their major after the first year in this program? Test at the 0.05 level of significance.

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#### Solution Preview

Ho: true p > = 50%

Ha: true P < 50%

In this case the sample probability is p = 48/100=0.48

The sample deviation is given by S = Sqrt[(p)(1 ...

#### Solution Summary

This solutions tests at a 0.05 level of significance in whether there has been a significant decrease in the proportion of students who had changed their major after the first year in this program.