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