SOLUTION: A simple random sample of 300 is selected from a large shipment and testing reveals that 4% of selected samples are defective. The supplier claims that no more than 2% of the shipm

Question 1183123: A simple random sample of 300 is selected from a large shipment and testing reveals that 4% of selected samples are defective. The supplier claims that no more than 2% of the shipment are defective.Testing at 1% of significance. What conclusion can you draw from this statement
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Ho:p=0.02
Ha:p NE 0.02
z=(p hat-p)/sqrt(p(1-p)/300)
critical value is z(0.995) so reject Ho for |z|>2.576
=.02/sqrt(.02*0.98/300)
z=2.474; p-value 0.0134 for 2 way test.
Fail to reject at the 1% level; insufficient evidence.
With a Poisson approximation with parameter 6 (300*0.02) the probability of having 12 would be 0.0112.
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