Fat-tailed sheep are a common sight in the Near East. Some fat-tailed sheep are spotted, whereas others are solid colored. Of those that have a solid color, a small percentage of these fat-tailed sheep are completely black. If we randomly observe 18 black fat-tailed sheep out of a total of 218 sheep, what interval can we be 90% certain contains the population proportion of black fat-tailed sheep?
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(0.052, 0.113)
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(0.046, 0.119)
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(0.059, 0.107)
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(0.039, 0.126)