A large nationwide chain store requires a simple membership plan for its customers. The marketing manager believes that a new tiered membership will attract more customers and increase profits. A random sample of 341 customers is selected and surveyed. 68% of those surveyed said they would purchase a tiered membership.   a. Calculate a 90% confidence interval for the proportion of customers who would purchase a tiered membership.   b. Interpret the confidence interval.    c. Based on the interval, is there convincing evidence that 75% of the members would purchase a tiered membership

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