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At a major credit card bank, the percentages of people who historically apply for the Silver, Gold and Platinum cards are 60%, 30% and 10% respectively. In a recent sam- ple of customers responding to a promotion, of 200 cus- tomers, 110 applied for Silver, 55 for Gold and 35 for Platinum. Is there evidence to suggest that the percentages for this promotion may be different from the historical proportions?
a) What is the expected number of customers applying for each type of card in this sample if the historical proportions are still true?
b) Compute the x2 statistic.
c) How many degrees of freedom does the x2 statistic have?
Hubbard argues that the Fed can control the Fed funds rate, but the interest rate that is important for the economy is a longer-term real rate of interest. How much control does the Fed have over this longer real rate?
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