Reference no: EM132857917

Draughtsmen Aleworks performed a survey, with a sample of 100 Isla Vista residents (who were 21 and over) to determine which of two new beer styles is preferred in a blind taste test.

a. If we suppose that the true population preference is evenly split, with 50% preferring style A over style B, and 50% preferring style B over style A, what is the probability that more than 65% of the sample members prefer beer style A?

b. If we now know that the true population preference is actually 60% that prefer beer style A over style B, what is the probability that between 45% and 65% of the sample members prefer beer style A?

c. Given the true population preference for prefer beer style A over style B is 60%, the probability is 0.4325 that the proportion of the sample that prefer style A is greater than what amount?

d. Without doing any calculations, how would you expect the answer to part (b) to change if instead of 100 Isla Vista residents, we surveyed 1000 Isla Vista residents, and why?