In: Statistics and Probability
8.The company that you work for requires that less than 3% (.03) of the microchips that you deliver are defective. If the percentage is not below 3%, you cannot ship the microchips. You collect a simple random sample of 430 microchips and find that 12 of them are defective. Conduct a hypothesis test with a ??=.05 level of significance to determine if less than 3% of the microchips are defective. Write all non-calculation answers in complete sentences. Must show all work
a.Which test would you use and why?
b.Write the null and alternative hypothesis in complete sentences. (Make sure you mark which is the null and which is the alternative.)
c.Write the null and alternative hypothesis as symbols.
d.State the requirements that have been met to run the test.
e.What is the test statistic and the p-value? (Make sure you use the right notation.)
f.Should you reject or fail to reject the null hypothesis?
g.State the conclusion for the test.
h.According to the results of your hypothesis test, are you going to ship the microchips. Explain your reasoning based upon the hypothesis test.