# Different Parcel Effectiveness

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Have you seen this question before?

Let’s say you are in charge of shipments at Amazon.

There are two types of parcels you can ship packages in, say $A$ and $B$. Packages delivered in parcel $A$ are damaged during shipment with probability $p$, while packages delivered in parcel $B$ are damaged with probability $q$.

What statistical test could you use to determine which parcel is better to use? What would the statistical test conclude if $p=0.4$ and $q=0.6$?

Note: Assume the values of $p$ and $q$ were obtained from data recorded from 200 shipments, half delivered with parcel $A$ and half delivered with parcel $B$.

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