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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%,

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 study of customers responding to a promotion, of 200 customers, 110 applied for Silver, 55 for Gold and 35 for Platinum. The observed and expected data are summarised in the table below:

Use the output and your calculator to answer questions 1-3.

  1. What is the expected value for Gold card applicants?(integer)
  2. What is the contribution to chi-squared for Gold card applicants?(3 dp)
  3. What is the chi-squared test statistic?(2 dp)
  4. Using Excel, determine the p-value:(4 dp)
  5. Would you(A)reject or(B)not reject the hypothesis that the proportions are as stated?

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