Use the information to answer the following question. A scientist is worried about a new disease being spread by mosquitoes in an area. The scientist captures a random sample of 137 mosquitoes from the area and tests them to find out whether they carry the disease. In this sample, 22 of the mosquitoes were carrying the disease. Using this information, the scientist uses 100 simulations of additional samples with the same proportion of disease-carrying mosquitoes from the sample to determine that the standard deviation for the proportion of mosquitoes carrying the disease is approximately 0.029. What is the margin of error for the estimated proportion of mosquitoes in the area that carry the disease? O0.161 0.321 0.029

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Use the information to answer the following question.
A scientist is worried about a new disease being spread by mosquitoes in an area.
The scientist captures a random sample of 137 mosquitoes from the area and tests
them to find out whether they carry the disease. In this sample, 22 of the mosquitoes
were carrying the disease.
Using this information, the scientist uses 100 simulations of additional samples with
the same proportion of disease-carrying mosquitoes from the sample to determine
that the standard deviation for the proportion of mosquitoes carrying the disease is
approximately 0.029.
What is the margin of error for the estimated proportion of mosquitoes in the area
that carry the disease?
O0.161
0.321
0.029
Transcribed Image Text:Use the information to answer the following question. A scientist is worried about a new disease being spread by mosquitoes in an area. The scientist captures a random sample of 137 mosquitoes from the area and tests them to find out whether they carry the disease. In this sample, 22 of the mosquitoes were carrying the disease. Using this information, the scientist uses 100 simulations of additional samples with the same proportion of disease-carrying mosquitoes from the sample to determine that the standard deviation for the proportion of mosquitoes carrying the disease is approximately 0.029. What is the margin of error for the estimated proportion of mosquitoes in the area that carry the disease? O0.161 0.321 0.029
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