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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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.
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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