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%

Question 1183159: -----------
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 robertb(5830) (Show Source): You can put this solution on YOUR website!

We are given the info n = 300. , , and we will implement a one-tailed test with the rejection region on the far right side of the normal distribution.
==> , using 5 d.p.

Using the calculator on https://stattrek.com/online-calculator/normal.aspx, we find out that ,
hence the p-value is 1 - 0.993 = 0.007 < 0.01,
the significance level . Therefore we reject ,
and conclude that the proportion of defective items is greater than 2%.

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