Question

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 400 people reveals that 345 of them prefer to open their egg on the small end.

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 sizes with the sample proportion being as much higher for Lilliputians as it was for our samples (i.e., one-sided p-value, to four decimal places): ??

The above p-value comes from a test-statistic of z= ?? (enter number without sign).

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): ??

Answer 1