Question 121514
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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Ho: p=0.5
Ha: p<0.5
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alpha = 5% implies the critical value is -1.645
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Test Statistic: z(48/100)= (0.48-0.50)/sqrt[0.5*0.5/100]=-0.02/sqrt(0.0025)
=-0.4
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p-value = 35.5%
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Conclusion: Fail to reject Ho.
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Cheers,
Stan H.