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Suppose you are conducting a poll to determine if jellied cranberry sauce from a can is...

Suppose you are conducting a poll to determine if jellied cranberry sauce from a can is more popular than homemade cranberry sauce. Let θ be the true proportion of Americans who prefer canned cranberry sauce. You will use a sample of size 60 to test H0 : θ = 0.5 against H1 : θ > 0.5. You plan to reject H0 if your sample includes 37 or more people who prefer jellied cranberry sauce from a can.

a) What is the exact probability of a type I error?

b) Suppose that H0 is false and the true proportion is θ = 0.60. What is the exact probability that you will fail to reject H0 (type II error)?

math   Statistics-And-Probability   
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