In 2016, the US Department of Agriculture established a “maximum acceptable” salmonella prevalence of 15.4 percent for chicken parts sampled at the end of a slaughterhouse’s kill line. 54 of the 154 largest chicken-slaughter facilities in the US failed to meet this standard in 2018. Assume that these results are representative for all large chicken-slaughter facilities. Suppose that in a random sample of 60 chicken parts from the large ACME chicken-slaughter facility (which produces 1,000,000 chicken parts per year), 45 chicken parts test negative for salmonella. a) Test the null hypothesis that the prevalence of salmonella among ACME chicken parts is 15.4%, usingthe p-value method.
In 2016, the US Department of Agriculture established a “maximum acceptable” salmonella prevalence of 15.4 percent for chicken parts sampled at the end of a slaughterhouse’s kill line. 54 of the 154 largest chicken-slaughter facilities in the US failed to meet this standard in 2018. Assume that these results are representative for all large chicken-slaughter facilities. Suppose that in a random sample of 60 chicken parts from the large ACME chicken-slaughter facility (which produces 1,000,000 chicken parts per year), 45 chicken parts test negative for salmonella.
a) Test the null hypothesis that the prevalence of salmonella among ACME chicken parts is 15.4%, usingthe p-value method.
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