An online retailer would like to study the repurchase intention of their customers. The shop has then surveyed its selected customers. The results have shown that 49 out of 100 of the surveyed customers showed their intention of online repurchasing the products of the shop. (a) Construct a 95% confidence interval to estimate the population proportion of customers who has an online repurchase intention towards the products of the shop. (i) (ii) At a 0.01 significance level, is there any evidence that less than 55% of all the customers will have online repurchase intention towards the products of the shop?

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