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A company is not happy with the margin of error of a customer satisfaction poll the company has carried out. The

company polled a random selection of 75 customers. The company discovered that 53% of their customers in this study are satisfied with their product, with a corresponding margin of error of 12 percentage points for a 95% confidence interval estimate for the population proportion of customers who are satisfied with their product

i) The company has been playing with the options on a statistic package. The company suggest using a confidence level of 50%, as it produces a margin of error of 4 percentages points. The company claims that this shows that the estimate "will be much more accurate". Explain, , why they are wrong.

ii) What do you think the company should do to improve the precision of their estimate?

[Hint .... how could they get better data?] (One sentence only)

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