You are a quality engineer for a company that purchases widg

You are a quality engineer for a company that purchases widgets. There are two factories which make acceptable widgets, the first factory makes Forged Widgets, and the second factory makes Milled Widgets. You order 100 of the Forged Widgets and 120 of the Milled Widgets, then install them into gadgets, and run the gadgets for 10,000 hours. Of the Forged Widgets 45 failed during the test and of the Milled Widgets 60 failed during the test. Assume that there is no difference between the true rate of failure of two type of widgets. Using the data from this test what is the P-Value associated with this assumption?

I really need to figure out how to do these questions. Please help.

0.8421762

0.7616966

0.7289713

0.1934582

0.5623366

0.4589533

0.8421762

0.7616966

0.7289713

0.1934582

0.5623366

0.4589533

Solution

Hence answer is 0.4589533

Type Forged Milled
Ordered 100 120
Failed 45 60
proportion 0.45 0.5
H0: p1 = p2
Ha: p1 not equal to p2
Two tailed test for difference of proportions
z -0.7393
p value 0.4593
You are a quality engineer for a company that purchases widgets. There are two factories which make acceptable widgets, the first factory makes Forged Widgets,

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