Conduct the following test at the a = 0.10 level of significance by determining (a) the null and alternative hypotheses (b) the test statistic (c) the critical value (d) the p-value. assume that the samples were obtained independently using simple random sampling. (e) test whether p1 does not equal p2. sample data are x1 = 28, n1=254, x2 =38 and n2 =302.

Aquality characteristic of new iphone x made at the amsterdam plant at apple computers has a manufacturing specification (in mm) of 0.200 +/- .07. historical data indicates that if the quality characteristic takes on values greater than 0.27 or smaller than 0.13 the component fails at a cost of20.19. based on these data: determine the taguchi loss function (must show work) calculate an estimated loss for a quality characteristic of .30 calculate an estimated loss for quality characteristic of .40.