1. Researchers want to study the size of the local raccoon population. On one night, 25...

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?

Expert Solution

(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)

orchestra answered 2 years ago

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