An understanding of choices of habitat is an important element in understanding thebiology and ecology of birds. One aspect of habitat choice is the pattern of preferredvertical height when feeding in forests. In a study of small birds in an old-growthforest in the Pacific Northwest, researchers, suspended from a giant crane, observedthe landings of Golden-crowned kinglets (Regulus strapa).
They found that 78 of the163 landings were in the "mid" height region of trees, 21-40 meters above ground.
a) Compute an estimate of the population proportion of all landings of these kingletsthat are in the 21 - 40 meter height range.
b) Based on the data above, what is the margin of error of ˆp ?

Question

An understanding of choices of habitat is an important element in understanding thebiology and ecology of birds. One aspect of habitat choice is the pattern of preferredvertical height when feeding in forests. In a study of small birds in an old-growthforest in the Pacific Northwest, researchers, suspended from a giant crane, observedthe landings of Golden-crowned kinglets (Regulus strapa). 
They found that 78 of the163 landings were in the "mid" height region of trees, 21-40 meters above ground.
a) Compute an estimate of the population proportion of all landings of these kingletsthat are in the 21 - 40 meter height range.
b) Based on the data above, what is the margin of error of ˆp ?

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The Answer of An understanding of choices of habitat is an important element in understanding thebiology and ecology of birds. One aspect of habitat choice is the pattern of preferredvertical height when feeding in forests. In a study of small birds in an old-growthforest in the Pacific Northwest, researchers, suspended from a giant crane, observedthe landings of Golden-crowned kinglets (Regulus strapa). 
They found that 78 of the163 landings were in the "mid" height region of trees, 21-40 meters above ground.
a) Compute an estimate of the population proportion of all landings of these kingletsthat are in the 21 - 40 meter height range.
b) Based on the data above, what is the margin of error of ˆp ?

An Understanding of Choices of Habitat Is an Important Element