1. We wish to determine the proportion of small- to medium-sized streams in eastern North Carolina which have runoff from hog farms in order to prepare for issues arising from water quality in the aftermath of hurricanes. A random sample of 191 small- to medium-sized streams is selected and it is found that 22 of them have runoff from hog farms. Which of the following is the value of the parameter of interest in this setting? a. 0.02310 b. 0.885 c. 0.115 d. The value of the parameter of interest cannot be determined from the given information.
2. Create a 95% confidence interval for the parameter of interest in the previous problem. What is themargin of error? Provide your answer accurate to four digits beyond the decimal point.
3. An environmental research firm wants to estimate the proportion of cars in Jackson County, Missouri that would be considered SUVs. Using the county's vehicle registration records they randomly select 220 vehicles. From that list they determined that 90 of them were SUVs. The sample proportion is 0.409, and the 95% confidence interval for the proportion of cars in Jackson County that are SUVs is (0.344, 0.474). Select all of the following which would produce a confidence interval with a larger margin of error. Select one or more: a. If we had collected a sample of 500 vehicles instead of 220. b. If we used 90% confidence instead of 95%. c. If we used 99% confidence instead of 95%. d. If the sample proportion were 0.591 instead.