To test the effectiveness of protective packaging, a firm shippedout 1200 orders

Question

To test the effectiveness of protective packaging, a firm shippedout 1200 orders in regular light packaging and 1500 orders inheavy-duty packaging. Of the orders shipped in lightpackaging, 20 arrived in damaged condition, while of the ordersshipped in heavy-duty packaging, 15 arrived in damagedcondition. Can you conclude that heavy-duty packaging reducesdamaged shipments?
I can probably make an intelligent guess at this, but I am havingtrouble explaining it in probability. Can somebody please help.Thanks in advance.
I can probably make an intelligent guess at this, but I am havingtrouble explaining it in probability. Can somebody please help.Thanks in advance.

Explanation / Answer

To solve this use the hypergeometric formula, better known asthe widget formula. (aCr)(bC(n-r))/(a+b)Cn the C is for combination, not a variable. n=sample size r= # of desired defects(successes) in sample n-r= # of desired nondefects(failures) in sample a= total defects(successes) in population b= total nondefects(failures) in population I think that should be enough for you to figure it you. If youneed any more help message me.

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