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 andwell hidden by available brush. There were a total of 475 eggs in group I boxes, of which a field count showed about 274 hatched. Group II nesting boxes were placed in highly visible locations andgrouped closely together. There were a total of 796 eggs in group II boxes, of which a field count showed about 274 hatched.(a) Find a point estimate p1 for P1, the proportion of eggs that hatch in group I nest box placements. Find a 99% confidence interval for p1. (Use 3 decimal places.)P1lower limitupper limit(b) Find a point estimate p2 for p2, the proportion of eggs that hatch in group II nest box placements. Find a 99% confidence interval for p2. (Use 3 decimal places.)lower limitupper limit(c) Find a 99% confidence interval for p1 – P2. (Use 3 decimal places.)lower limitupper 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?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.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.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 andmaintaining group I nest box placements. Also at issue is the cost efficiency per successful wood duck hatch.O The eggs hatch equally well in both conditions.A greater proportion of wood duck eggs hatch if the eggs are laid in highly visible, closely grouped nesting boxes.No conclusion can be made.O A greater proportion of wood duck eggs hatch if the eggs are laid in well-separated, well-hidden nesting boxes.

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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 475 eggs in group I boxes, of which a field count showed about 274 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 796 eggs in group II boxes, of which a field count showed about 274 hatched. (a) Find a point estimate p, for P1, the proportion of eggs that hatch in group I nest box placements. Find a 99% confidence interval for p1. (Use 3 decimal places.) lower limit upper limit (b) Find a point estimate p, for p2, the proportion of eggs that hatch in group II nest box placements. Find a 99% confidence interval for p2. (Use 3 decimal places.) P2 lower limit upper limit (c) Find a 99% confidence interval for p, - p2. (Use 3 decimal places.) 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? O 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. O 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. O We can not make any conclusions using this confidence interval. O Because the interval contains only negative numbers, we can say that a higher proportion of eggs hatched in highly visible, closely grouped nesting boxes.

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 27PPS