SOLUTION: the chairman of the university department takes a random sample of 75 of 1727 and asks each of them: which of courses offered by the department should be retained? he decided that

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Question 1173774: the chairman of the university department takes a random sample of 75 of 1727 and asks each of them: which of courses offered by the department should be retained? he decided that is significantly fewer than 20% of the students want the course, then it will be eliminated.if the result for the mathematics is that 11 of 75 want it retained, then determine its fate by testing h0: p=0.20 versus h1:p<0.20 at a=0.01
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Ho: p >=0.20
Ha: p < 0.20
alpha =0.01 p{reject Ho|Ho true}
test is a 1 sample proportion
critical value is a z
reject if z < -2.326
z=(0.147-0.20)/sqrt (0.2*0.8/75)
=-0.053/0.046
=-1.15
fail to reject Ho at the 0.01 level. Insufficient evidence there are fewer than 20%
p-value =0.12.
sample not large enough to use finite population correction factor.