Refer to Exercise 10.

The quality engineer suspects that the setting with a P-value of 0.03 may actually reduce the proportion of defective parts. What P-value would be needed to make this conclusion at the α = 0.05 level after applying the Bonferroni correction?

Exercise 10

Six different settings are tried on a machine to determine whether any of them will reduce the proportion of defective parts. For each setting, an appropriate null hypothesis is tested to determine whether the proportion of defective parts has been reduced. The six P-values are 0.34, 0.27, 0.002, 0.45, 0.03, and 0.19. A quality engineer concludes at the α = 0.05 level that the method whose P-value is 0.002 reduces the proportion of defective parts. Explain why this conclusion is justified.