Question

A company that has many department stores wanted to find the percentage of sales at two...

A company that has many department stores wanted to find the percentage of sales at two such stores for which at least one of the items was returned. A sample of 800 sales randomly selected from Store A showed that for 240 of them at least one item was returned. Another sample of 900 sales randomly selected from Store B showed that for 279 of them at least one item was returned.
a) Construct a 98% confidence interval for the difference between the proportions of all sales at the two stores for which at least one item is returned.
b) At 1% significance level, can you conclude that the proportions of all sales at the two stores for which at least one item is returned are different?

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