SOLUTION: The lecturer claims that average percentage pass mark of a subject is 60% and the Head of Department is skeptic with this claim. To verify this claim the Head of Department sampled

Question 1123648: The lecturer claims that average percentage pass mark of a subject is 60% and the Head of Department is skeptic with this claim. To verify this claim the Head of Department sampled 76 scripts and discovered that 48 scripts were above the 60% mark. REQUIRED: Conduct a hypothesis to test this claim at 1% significance level.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Can do 2-way test since I don't know which direction is likely
Ho: percentage = 60%
Ha: percentage NE 60%
alpha=0.01 P{reject Ho|Ho true}
test stat is a 2-way proportion with critical |z| > 2.576
48/76=0.63
z=(0.63-0.60)/sqrt(0.6*0.4/76); sqrt term =0.0562
=0.03/0.0562=0.5338. Fail to reject Ho, and the script percentage may be 60%. Insufficient evidence to show that it is not 60%.
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