1.You have started to purchase components for your electronics firm from an overseas vendor.You have told the vendor that you will do business with him only if the proportion of defectives in any shipment is no more than 0.025.In order to verify this, you take a sample of 300 components and test them.You know from your statistics class that sample proportions are normally distributed.If the vendor's proportion of defectives ()is really 0.025, what is the probability that your sample of 300 will have a sample proportion of:

a.Less than 0.01

b.More than 0.04

c.Between 0.005 and 0.035

Bonus Question for extra points: (I have already received the answer for the previous problem from you, just need the one below.

2.In the problem above, if the sample proportion, p, from your sample is 0.038, would you believe that the population proportion () is really .025?Why?