5. First USA, a major credit card company, is planning a new offer for their current cardholders. The offer will give double miles on purchases for the next 6 months if the cardholder goes online and registers for the offer. To test the effectiveness of the campaign, First USA recently sent out offers to a random sample of 50,000 cardholders. Of those, 1284 registered. a) Construct a 95% Cl for the true proportion of those cardholders who will register for the offer. Assume the requirements are met. This Cl is for b) If the acceptance rate is only 2% or less, the campaign won't be worth the expense. Given the confidence interval you found, is the campaign worth the expense? Explain why using the Cl.

MATLAB: An Introduction with Applications
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5. First USA, a major credit card company, is planning a new offer for their current cardholders. The offer will give
double miles on purchases for the next 6 months if the cardholder goes online and registers for the offer. To test the
effectiveness of the campaign, First USA recently sent out offers to a random sample of 50,000 cardholders. Of those,
1284 registered.
a) Construct a 95% Cl for the true proportion of those cardholders who will register for the offer. Assume the
requirements are met.
This Cl is for
b) If the acceptance rate is only 2% or less, the campaign won't be worth the expense. Given the confidence interval
you found, is the campaign worth the expense? Explain why using the Cl.
Transcribed Image Text:5. First USA, a major credit card company, is planning a new offer for their current cardholders. The offer will give double miles on purchases for the next 6 months if the cardholder goes online and registers for the offer. To test the effectiveness of the campaign, First USA recently sent out offers to a random sample of 50,000 cardholders. Of those, 1284 registered. a) Construct a 95% Cl for the true proportion of those cardholders who will register for the offer. Assume the requirements are met. This Cl is for b) If the acceptance rate is only 2% or less, the campaign won't be worth the expense. Given the confidence interval you found, is the campaign worth the expense? Explain why using the Cl.
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