109 parts made from alloy 1 and 49 parts made from alloy 2 were subjected to stress tests. 18 parts from alloy 1 and 13 parts from alloy 2 did not pass the test. Can we reject the hypothesis that the proportion of nonpassing parts from alloy 1 is at least as large as the proportion of nonpassing parts from alloy 2 at a= 0.01? Assume independent samples.
Question 1. For the hypothesis stated above (in terms of alloy1- alloy2):
Part A) What is the decision rule? Fill in only one of the following statements depending if the hypothesis is One tailed or Two tailed if the hypothesis is one tailed:
Reject Ho ____ ( zcrit/ t crit/ z stat/ t stat) _____ (< , >, = , <=, >= ) ____ (Answer for this blank must be typed to either 2 or 3 decimals depending on whether the z or t table is appropriate) if the hypothesis is two tailed:
Reject Ho if ____ (Z crit/ t crit/ z stat/ t stat) < ______ or ________ > _______
Question 2. Find the 99% confidence interval (in terms of alloy2- alloy1). ***** Please, Answer must be typed to four decimals****
Left Endpoint = ________
Right Endpoint = ________