In 2016, the US Department of Agriculture established a “maximum acceptable” salmonella prevalence of 15.4 percent...

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) Report a point estimate for the prevalence of failing to meet the chicken part salmonella standard
among large chicken-slaughter facilities, and test the null hypothesis that this prevalence is 20%.

Solutions

Expert Solution

a) A point estimate for the prevalence of failing to meet the chicken part salmonella standard

Let p denotes the true proportion of failing to meet the chicken part salmonella standard.

orchestra answered 1 year ago

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