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Finding the sample size for the confidence interval

A researcher wishes to estimate the proportion of fish in a certain lake that is inedible due to pollution of the lake. How large a sample should be tested in order to be 99% confident that the true proportion of inedible fish is estimated to within 7%? Use 2.575 as the critical value for a 99% confidence interval.

a) 277

b) 139

c) 196

d) 339

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