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, 114 applied for Silver, 61 for Gold and 25 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? a) The expected number of silver card customers is (Type an integer or a decimal.) The expected number of gold card customers is (Type an integer or a decimal.) The expected number of platinum card customers is (Type an integer or a decimal.) b) x² c) df = = (Round to two decimal places as needed.) (Type an integer or a decimal.)