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

ID: 3240965 • 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. each part with complete sentences. Show work neatly for any calculations. correct as SE(p), etc. throughout this report. 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. 1. (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). If p 0.50 and you create a 95% confidence interval, what will the margin of error be for a sample size of 1000 colonies? The of ma rain of error is 0.0 1000 0.0310 confidence 2. (6 pts) What are two ways you could get a interval with a smaller margin of error?

Explanation / Answer

margin of error = z * sqrt(p^*q^/n)

we can reduce margin of error by ways

1) increasing n ,

that is increasing sample size , we see that n is the denominator and hence margin of error decreases

2 ) by decreasing confidence level

that is by increasing level of significance .

for example - 95 % - z = 1.96

90 % - z = 1.645

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