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In the Focus Problem at the beginning of this chapter, a study was described comparing the hatch ratios of wood duck nesting boxes. Group I nesting boxes were well separated from each other and well hidden by available brush. There were a total of 483 eggs in group I boxes, of which a field count showed about 272 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 815 eggs in group Il boxes, of which a field count showed about 274 hatched. LUSE SALT (a) Find a point estimate for p₁, the proportion of eggs that hatch in group I nest box placements. (Round your answer to four decimal places.) p Find a 95% confidence interval for pr. (Round your answers to three decimal places.) upper limit lower limit (b) Find a point estimate for p2, the proportion of eggs that hatch in group II nest box placements. (Round your answer to four decimal places.) p 2 Find a 95% confidence interval for pz. (Round your answers to three decimal places.) lower limit upper limit == Find a 95% confidence interval for p₁ - P₂. (Round your answers to three decimal places.) (c) lower limit upper limit Does the interval indicate that the proportion of eggs hatched from group I nest boxes is higher than, lower than, or equal to the proportion of eggs hatched from group II nest boxes?

In the Focus Problem at the beginning of this chapter, a study was described comparing the hatch ratios of wood duck nesting boxes. Group I nesting boxes were well separated from each other and well hidden by available brush. There were a total of 483 eggs in group I boxes, of which a field count showed about 272 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 815 eggs in group Il boxes, of which a field count showed about 274 hatched. LUSE SALT (a) Find a point estimate for p₁, the proportion of eggs that hatch in group I nest box placements. (Round your answer to four decimal places.) p Find a 95% confidence interval for pr. (Round your answers to three decimal places.) upper limit lower limit (b) Find a point estimate for p2, the proportion of eggs that hatch in group II nest box placements. (Round your answer to four decimal places.) p 2 Find a 95% confidence interval for pz. (Round your answers to three decimal places.) lower limit upper limit == Find a 95% confidence interval for p₁ - P₂. (Round your answers to three decimal places.) (c) lower limit upper limit Does the interval indicate that the proportion of eggs hatched from group I nest boxes is higher than, lower than, or equal to the proportion of eggs hatched from group II nest boxes?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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10 In the Focus Problem at the beginning of this chapter, a study was described comparing the hatch ratios of wood duck nesting boxes. Group I nesting boxes were well separated from each other and well hidden by available brush. There were a total of 483 eggs in group I boxes, of which a field count showed about 272 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 815 eggs in group Il boxes, of which a field count showed about 274 hatched. USE SALT (a) Find a point estimate for p₁, the proportion of eggs that hatch in group I nest box placements. (Round your answer to four decimal places.) p 1= Find a 95% confidence interval for p₁. (Round your answers to three decimal places.) lower limit (b) Find a point estimate 2 for p2, the proportion of eggs that hatch in group II nest box placements. (Round your answer to four decimal places.) upper limit Find a 95% confidence interval for pz. (Round your answers to three decimal places.) lower limit (c) Find a 95% confidence interval for p₁ - P2. (Round your answers to three decimal places.) lower limit Does the interval indicate that the proportion of eggs hatched from group I nest boxes is higher than, lower than, or equal to the proportion of eggs hatched from group II nest boxes? upper limit upper limit Because the interval contains both positive and negative numbers, we can not say that a higher proportion of eggs hatched in well-separated and well-hidden nesting boxes. Because the interval contains only positive numbers, we can say that a higher proportion of eggs hatched in well-separated and well-hidden nesting boxes. We can not make any conclusions using this confidence interval. Because the interval contains only negative numbers, we can say that a higher proportion of eggs hatched in highly visible, closely grouped nesting boxes. (d) What conclusions about placement of nest boxes can be drawn? In the article discussed in the Focus Problem, additional concerns are raised about the higher cost of placing and maintaining group I nest box placements. Also at issue is the cost efficiency per successful wood duck hatch. A greater proportion of wood duck eggs hatch if the eggs are laid in well-separated, well-hidden nesting boxes. The eggs hatch equally well in both conditions. No conclusion can be made. A greater proportion of wood duck eggs hatch if the eggs are laid in highly visible, closely grouped nesting boxes.
Transcribed Image Text:10 In the Focus Problem at the beginning of this chapter, a study was described comparing the hatch ratios of wood duck nesting boxes. Group I nesting boxes were well separated from each other and well hidden by available brush. There were a total of 483 eggs in group I boxes, of which a field count showed about 272 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 815 eggs in group Il boxes, of which a field count showed about 274 hatched. USE SALT (a) Find a point estimate for p₁, the proportion of eggs that hatch in group I nest box placements. (Round your answer to four decimal places.) p 1= Find a 95% confidence interval for p₁. (Round your answers to three decimal places.) lower limit (b) Find a point estimate 2 for p2, the proportion of eggs that hatch in group II nest box placements. (Round your answer to four decimal places.) upper limit Find a 95% confidence interval for pz. (Round your answers to three decimal places.) lower limit (c) Find a 95% confidence interval for p₁ - P2. (Round your answers to three decimal places.) lower limit Does the interval indicate that the proportion of eggs hatched from group I nest boxes is higher than, lower than, or equal to the proportion of eggs hatched from group II nest boxes? upper limit upper limit Because the interval contains both positive and negative numbers, we can not say that a higher proportion of eggs hatched in well-separated and well-hidden nesting boxes. Because the interval contains only positive numbers, we can say that a higher proportion of eggs hatched in well-separated and well-hidden nesting boxes. We can not make any conclusions using this confidence interval. Because the interval contains only negative numbers, we can say that a higher proportion of eggs hatched in highly visible, closely grouped nesting boxes. (d) What conclusions about placement of nest boxes can be drawn? In the article discussed in the Focus Problem, additional concerns are raised about the higher cost of placing and maintaining group I nest box placements. Also at issue is the cost efficiency per successful wood duck hatch. A greater proportion of wood duck eggs hatch if the eggs are laid in well-separated, well-hidden nesting boxes. The eggs hatch equally well in both conditions. No conclusion can be made. A greater proportion of wood duck eggs hatch if the eggs are laid in highly visible, closely grouped nesting boxes.
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