10In the Focus Problem at the beginning of this chapter, a study was described comparing the hatch ratiosof wood duck nesting boxes. Group I nesting boxes were well separated from each other and well hiddenby available brush. There were a total of 483 eggs in group I boxes, of which a field count showedabout 272 hatched. Group II nesting boxes were placed in highly visible locations and grouped closelytogether. There were a total of 815 eggs in group Il boxes, of which a field count showedabout 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 limitFind 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 limitDoes 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 limitupper limitBecause the interval contains both positive and negative numbers, we can not say that a higherproportion of eggs hatched in well-separated and well-hidden nesting boxes. Because the intervalcontains only positive numbers, we can say that a higher proportion of eggs hatched in well-separatedand 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 eggshatched in highly visible, closely grouped nesting boxes.(d)What conclusions about placement of nest boxes can be drawn? In the article discussed in the FocusProblem, additional concerns are raised about the higher cost of placing and maintaining group I nest boxplacements. 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 nestingboxes. The eggs hatch equally well in both conditions. No conclusion can be made. Agreater proportion of wood duck eggs hatch if the eggs are laid in highly visible, closely grouped nestingboxes.

Question

Accepted Answer

Group 1:
Sample size n1=483
Number of successes x1=272
Group 2:
Sample size n2=815
Number of…