g Around 20 years ago, the CDC learned of an outbreak of gastrointestinal illness in several Georgia elementary schools. The CDC began their investigation by examining a random sample of 452 children. Among these children, 145 out of 304 became ill after eating burritos served by their school's cafeteria. On the other hand, only 20 of the remaining 148 who did not eat burritos became ill. (a). (3 points) Using this data, give a point estimate for the true difference in the proportion of those that ate the burrito and those that did not eat the burrito who developed a gastrointestinal illness.

Farmers know that driving heavy equipment on wet soil compresses the soil and injures future crops. here are data on the "penetrability" of the same type of soil at two levels of compression. penetrability is a measure of how much resistance plant roots will meet when they try to grow through the soil. compressed soil 2.85 2.66 3 2.82 2.76 2.81 2.78 3.08 2.94 2.86 3.08 2.82 2.78 2.98 3.00 2.78 2.96 2.90 3.18 3.16 intermediate soil 3.17 3.37 3.1 3.40 3.38 3.14 3.18 3.26 2.96 3.02 3.54 3.36 3.18 3.12 3.86 2.92 3.46 3.44 3.62 4.26 use the data, omitting the high outlier, to give a 95% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil. compute degrees of freedom using the conservative method. interval: to