Problem: You are given a set of 200 baseball cards and have reason to believe that more than half of them are of Brewers players \((p>.5)\). You design an experiment to test whether this hypothesis is correct. Each trial is to draw a card and record a+ if it is a Brewer and a if it is not. You replace the card and repeat the trials 10 times. You then count the number of times you drew a Brewer. You want to test whether the true proportion of Brewers cards is greater than .5.

b1) Write the null and alternative hypotheses. (4 Points)

b2) What is the rejection region for \(\alpha=.15\) ? (4 Points)

c) Based on your answer for Part B, what is the true value for \(\alpha\) ? (4 Points)

d) What is the Type II error rate \((\beta)\) given that the true proportion of Brewers cards is \(.75(\mathrm{p}=.75)\) ? (4 Points)

e) Based on your answer for Part \(\mathrm{D}\), what is the power? (4 Points)

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Solution: The downloadable solution consists of 3 pages, 250 words.
Deliverable: Word Document