In: Statistics and Probability
3. Recently a news story reported that a paper was published investigating the bacterial infection of boiler chickens sold in the United States. The study design was based on purchasing 600 whole broiler chickens from grocery stores across the United States. The results indicated that 85% of the 600 chickens tested positive for the presence of harmful bacteria.
a) In words, state the population parameter of interest.
b) Construct a 98% confidence interval for the population parameter.
c) Interpret the 98% confidence intervals means in the context of the research question.
d) A spokesperson from the chicken lobby stated that “This study only sampled 600 chickens out of several billions of chickens killed each year. With such a small sample size, I don’t think consumers should be concerned about being exposed to bacteria by consuming chicken.” Is this valid statement? Explain.