Suppose you are interested in testing a claim you have hear about the proportion

Question

Suppose you are interested in testing a claim you have hear about the proportion of a population who have a certain trait. You collected the data and discover that if the claim is true, the sample proportion you have observed is so large that it falls at the 99th percentile of possible sample proportions for your sample size. Would you believe the claim and conclude that you just happened to get a weird sample, or would you reject the claim? What if the result was at the 70th percentile? At the 99.99th percentile?

Explanation / Answer

If my result was at 70th Percentile,there is a more chance of rejecting my claim as the significance level is very huge and we donot take it into consideration

But if my result was at 99.99 percentile,we do accept the claim.Usually the results with 95 percentile claim are assumed to be proper.So 99.99 is obviously more proper and we happily accept the claim

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