# One-Sample Test of Hypothesis

Research at the University of Toledo indicates that 50 percent of the students change their major area of study after their first year in a program. A random sample of 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 change their major after the first year in this program? Test at the .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 ...

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$2.19