According to a recent study, some experts believe that 2626% of all freshwater f

Question

According to a recent study, some experts believe that 2626% of all freshwater fish in a particular country have such high levels of mercury that they are dangerous to eat. Suppose a fish market has 100 fish we consider randomly sampled from the population of edible freshwater fish. Use the Central Limit Theorem (and the Empirical Rule) to find the approximate probability that the market will have a proportion of fish with dangerously high levels of mercury that is more than two standard errors above 0.26. You can use the Central Limit Theorem because the fish were randomly sampled; the population is more than 10 times 100; and n times p is 26, and n times (1 minus p) is 74, and both are more than 10. The approximate probability that the market will have a proportion of fish with dangerously high levels of mercury that is more than two standard errors above 0.26 is

Explanation / Answer

Proportion of fish with dangerously high levels of mercury that is more than two standard errors above 0.26

= P(z > 2)

= 0.025

= 2.5 %

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