Question

1. Researchers want to study the size of the local raccoon population. On one night, 25 animals were caught, tagged, and then released. Over the next several weeks, 3 samples of 15 were taken. The first time, 8 raccoons were tagged. The next time, 6 raccoons had tags. On the final time, 9 raccoons had tags. What would you report as the size of the raccoon population?

2. Research on a new medication shows it is 85% effective in relieving allergy symptoms. In other words, 85 in 100 people would report feeling better a day after taking the drug.

1.Assume 20 people take the drug. Determine the range of people in which the likelihood of finding that number of people who felt relief is 2/3. (i.e. in every group of 20 people, there is a 75% chance of finding ___ to ___ people who feel relief).

2.How many users of the medication would have to be surveyed before being 99.9% sure that at least someone felt relief?

Answer 1

(there are more than 1 questions, as per policy i am answering first question)

1.

since the highest no. of racoons found is 9

we find that the proportion of racoons in three samples are :

8/15 = 0.53

6/15 = 0.4

9/15 = 0.6

mean proportionn = (0.6+0.4+0.53)/3 = 0.51

the confidence interval will be :

we can see that the proportion of racoons in 25 animals is in the range : (0.314, 0.706)