A manufacturing company produces water filter for the home refrigerators. The procedure has typically produced at least 4% defective. A recently designed experiment has led to changing seal to reduce defects. With the process running using new seal, a random sample of 900 filters yielded 30 defects. Has the new seal reduced defects? Use alpha= 0.05
a) Write down the null and the alternative hypotheses.
b) Compute the test statistic and the p-value.
c) Write up your conclusion in the context of the problem.
d) What is Type II error? Describe it in the context of this problem.