In a test of the reliability of products produced by two machines, machine 1 produced 10 defective parts in a run of 200, while machine 2 produced 15 defective parts in a run of 260. Test the claim that proportion of defectives produced by machine 1 produces is less than that of machine 2. Use 5% level of significance. Suppose that the true value of the proportion of defectives produced by machine 1 and machine 2 are given by p1=0.04 and p2 = 0.08. Calculate the power for the test with level of significance, a = 0.05. Also find the p-value. Please include some work so I can see how values are found.