An understanding of bird's choices of habitat is a crucial element in understanding avian biology and ecology. One aspect of habitat choice is the pattern of their preferred vertical height when feeding in forests. In a study of small birds in an old-growth forest in the Pacific Northwest, researchers (suspended from a giant crane!) observed the landings of Golden-crowned kinglets (Regulus strapa). They found that 78 of the 163 landings were in the "mid" height region, 21-40 meters above ground.
a) Compute a point estimate of the population proportion of all landings of these kinglets that are in the 21 - 40 meter height range.
b) Construct and interpret a 95% confidence interval for π, the population proportion of all landings of these kinglets that are in the 21 - 40 meter height range.

Question

An understanding of bird's choices of habitat is a crucial element in understanding avian biology and ecology. One aspect of habitat choice is the pattern of their preferred vertical height when feeding in forests. In a study of small birds in an old-growth forest in the Pacific Northwest, researchers (suspended from a giant crane!) observed the landings of Golden-crowned kinglets (Regulus strapa). They found that 78 of the 163 landings were in the "mid" height region, 21-40 meters above ground. 
a) Compute a point estimate of the population proportion of all landings of these kinglets that are in the 21 - 40 meter height range. 
b) Construct and interpret a 95% confidence interval for π, the population proportion of all landings of these kinglets that are in the 21 - 40 meter height range.

Quizplus · Accepted Answer

The Answer of An understanding of bird's choices of habitat is a crucial element in understanding avian biology and ecology. One aspect of habitat choice is the pattern of their preferred vertical height when feeding in forests. In a study of small birds in an old-growth forest in the Pacific Northwest, researchers (suspended from a giant crane!) observed the landings of Golden-crowned kinglets (Regulus strapa). They found that 78 of the 163 landings were in the "mid" height region, 21-40 meters above ground. 
a) Compute a point estimate of the population proportion of all landings of these kinglets that are in the 21 - 40 meter height range. 
b) Construct and interpret a 95% confidence interval for π, the population proportion of all landings of these kinglets that are in the 21 - 40 meter height range.

An Understanding of Bird's Choices of Habitat Is a Crucial