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In recent years, many of the country\'s honeybees have died or left their coloni

ID: 3240976 • Letter: I

Question

In recent years, many of the country's honeybees have died or 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 significant. 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. l. (4 pts) Before you collect data, you'd like to run some preliminary numbers. The margin of error for a confidence interval is z .SE(p). Ifp- 0.50 and you create a 95% confidence interval, what will the margin of error be for a sample size of 1000 colonies? The we of ma rain /000 error is 0.0 D. D 310

Explanation / Answer

here estimated proportion p=511/1893=0.2699 and n=1893

hence std error =(p(1-p)/n)1/2 =0.0102

for 99% CI; z=2.5758

therefore 99% confidence interval =estimated proportion -/+ z*Std error =0.2437 ; 0.2962

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