This is the question that I was working on:
"An airline claims that the proportion of luggage that is lost is less than or equal to 0.06. A random sample of size 200 is taken. Out of the 200 independent observations, 23 pieces of luggage were lost. Test whether the airline's claim is true at a 1% significance level."
My approach was to model the number of lost luggages as X~Bin(200, p) and use binomial distribution to find the p-value.
However, the answer used the fact that sample proportions are normally distributed (by CLT) to find the p-value.
Would both approaches be correct, and if so, which one is "better"?