Looking for answer to number three. In recent years, many of the country\'s hone

Question

Looking for answer to number three. In recent years, many of the country's honeybees have died of left their colonies due to what scientists have termed Colony Collapse Disorder (CCD). The reasons for that are not yet fully understood, but the consequences to agriculture are insignificant. In this report, you are in the role of a biological researcher who would like to reach conclusions regarding how widespread CCD is in your home state of Oregon. Answer each part with complete sentences. Show work neatly for any calculations. Use correct notation such as p, SE(p), etc, throughout this report. Your population of interest is bee colonies in Oregon. The population parameter you're interested in, p, is the percent of colonies that experience collapse in six months. Before you collect data, you'd like to run some preliminary numbers. the margin of error for a confidence interval is z middot SE(p). If p = 0.50 and your create a 95% confidence interval, what will the margin of error be for a sample size of 1000 colonies? Obtaining a completely random sample of colonies would be nearly impossible, so your graduate students (you're a PhD, obviously) split the state into regions based on climate, contacted randomly selected apiaries in each region, and asked beekeepers to participate by randomly selecting some of their colonies for follow-up in six months. The beekeepers were happy to help, and your sample size is 1, 893 colonies Six months later, 511 of the colonies experienced Colony Collapse Disorder. Construct a 99% confidence interval. Show your calculations.

Explanation / Answer

3) X = 511 , n = 1893

p^ = 511/1893 = 0.26994

Z0.005 = 2.576

confidence interval is

(0.26994 - 2.576 * sqrt (0.26994 * 0.73006 /1893 ) ,(0.26994 + 2.576* sqrt( 0.26994 * 0.73006 /1893)

(0.243656,0.29622351)

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