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On the island of Lilliput, a sample random sample of 500 people reveals that 450 of...

On the island of Lilliput, a sample random sample of 500 people reveals that 450 of them prefer to open their egg on the small end. On the island of Blefuscu, a sample random sample of 250 people reveals that 210 of them prefer to open their egg on the small end.

Part Three: Assuming that Lilliputians and Blefuscuans are equally likely to open their egg on the small end, what is the probability of selecting samples of these two sizes with sample proportions as different as ours were (two-sided p-value, to four decimal places)

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