3. Factory farming funk - The US Environmental Protection Agency (EPA) recently reported that confined animal feeding operations (CAFOS) dump 2 trillion pounds of animal and industrial waste into the environment annually, contaminating the ground water in 17 states and polluting more than 35,000 miles of our nation's rivers. An MSU student, alarmed by these published statistics, conducted a survey of Michigan residents. From his collected data, he estimated the proportion of Michigan residents who favored the creation of standards to limit pollution by CAFOs. His reported 95% confidence interval was 0775208248 Question 13 (1 point) Consider all of the following statements and determine which among them is incorrect There is a 95% probability that the actual percent of Michigan residents in favor of pollution standards is between 77.52% and 82.48%. Approximately 95% of MSU students favor pollution standards at a rate of 77.52% and 82.48%. If this study were repeated many times, we'd expect approximately 95% of future confidence intervals to contain the true rate at which Michigan residents favor the creation of pollution standards. With 95% confidence, we estimate the true rate at which Michigan residents favor the creation of pollution standards to be between 77.52% and 82.48%.

Using the results of the survey the student that conducted it estimated the population proportion of Michigan residents that are in favor of the creation of standards to limit pollution by CAFOs.

The calculated 95% CI is [0,7752; 0,8248]

Interpretation: With a 95% confidence level you'd expect that the interval [0,7752; 0,8248] will include the true population proportion of Michigan residents that are in favor of the creation of standards to limit pollution by CAFOs.

i.e. If you were to construct 100 confidence intervals, you'd expect 95 of them to contain the true value of the proportion of Michigan residents that are in favor of the creation of standards to limit pollution by CAFOs.

With this in mind:

Consider all of the following statements and determine which among them is incorrect

1) There is a 95% probability that the actual percent of Michigan residents in favor of pollution standards is between 77.52% and 82.48%. INCORRECT

2) Approximately 95% of MSU students favor pollution standards at a rate of 77.52% and 82.48%. INCORRECT

The confidence level is the probability that the interval will contain the true value of the parameter of interest and the bonds of the interval indicate the possible range of that parameter.

Also in 1) The parameter is not defined correctly, and in 2) the population of interest is incorrect.

3) If this study were repeated many times, we'd expect approximately 95% of future confidence intervals to contain the true rate at which Michigan residents favor the creation of pollution standards. CORRECT

4) With 95% confidence, we estimate the true rate at which Michigan residents favor the creation of pollution standards to be between 77.52% and 82.48%. CORRECT

I hope it helps!