In: Statistics and Probability
A study shows that 16 of 200 tractors produced on one assembly line required extensive adjustments before they could be shipped, while the same was true for 14 of 400 tractors produced on another assembly line.
(a) At the 0.01 level of Significance, does this support the claim that second production line does superior work?
(b) If the true percentages for the two assembly lines were 10% and 5%, respectively, what sample sizes (m = n) would be necessary to detect such a difference when the Type II error is 0.35?