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A market survey was conducted to estimate the proportion of homemakers who would recognize the brand...

A market survey was conducted to estimate the proportion of homemakers who would recognize the
brand name of a cleanser based on the shape and the color of the container. Of the 1400 homemakers
sampled, 420 were able to identify the brand by name. Find a 96% confidence interval estimate for
the population proportion. Round only the last calculation (both endpoints of the interval) to two
decimal places. Give also complete confidence statement. What will happen to the width of obtained
interval if we decrease a sample size?

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