A sample of 100 shoppers chosen at random from all shoppers in a given province indicated that 55% of them preferred a particular store (Shoprite). i. Find a 95% confidence interval for the proportion of all the shoppers that preferred Shoprite. ii. How large a sample of shoppers should we take in order to be 95% confident that the shoppers will buy from Shoprite?

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A sample of 100 shoppers chosen at random from all shoppers in a given province indicated that 55% of them preferred a particular store (Shoprite).
i. Find a 95% confidence interval for the proportion of all the shoppers that preferred Shoprite.
ii. How large a sample of shoppers should we take in order to be 95% confident that the shoppers will buy from Shoprite?

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