Question

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.

Answer 1

The point estimate is 0.342.

Explanation:

Among these children, 145 out of 304 became ill after eating burritos served by their school's cafeteria.

This means that:

`p_B = (145)/(304) = 0.477`

On the other hand, only 20 of the remaining 148 who did not eat burritos became ill.

This means that:

`p_(NB) = (20)/(148) = 0.135`

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.

The point estimate is the subtraction of the sample proportions. So

`p = p_N - p_(NB) = 0.477 - 0.135 = 0.342`

The 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 is 0.342.