Question

Some experts believe that 20% of all freshwater fish in the United States have such high...

  1. Some experts believe that 20% of all freshwater fish in the United States have such high levels of mercury that they are dangerous to eat. A local fish market claims that their fish are safer than average. Suppose a researcher has 250 fish tested from the market, and 18% of them have dangerous levels of mercury. Is there evidence to support the market’s claim? Use a significance level of 0.05.
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Answer #1

Ho: p = 0.20

Ha: p < 0.20 [Left Tailed Test]

Test statistic

z = -0.79

p - Value = P(z < -0.79) = 0.2146

Since p - value is greater than 0.05 significance level, we do not reject Ho. Hence,

We do not have sufficient evidence to support the local fish market claims that their fish are safer than average.

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