Question

In: Statistics and Probability

At a major credit card​ bank, the percentages of people who historically apply for the​ Silver,...

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 sample of customers responding to a​ promotion, of 200​ customers, 113 applied for​ Silver, 53 for Gold and 34 or 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 χ2 statistic.

​c) How many degrees of freedom does the χ2 statistic​ have?

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