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 463 eggs in group I boxes, of which a field count showed about 280 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 812 eggs in group II boxes, of which a field count showed about 274 hatched. (a) Find a point estimate p̂1 for p1, the proportion of eggs that hatch in group I nest box placements. (Round your answer to three decimal places.)p̂1 = Find a 99% confidence interval for p1. (Round your answers to three decimal places.) lower limit        upper limit   (b) Find a point estimate p̂2 for p2, the proportion of eggs that hatch in group II nest box placements. (Round your answer to three decimal places.)p̂2 = Find a 99% confidence interval for p2. (Round your answers to three decimal places.) lower limit        upper limit   (c) Find a 99% confidence interval for p1 − p2. (Round your answers to three decimal places.) lower limit       upper limit

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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 463 eggs in group I boxes, of which a field count showed about 280 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 812 eggs in group II boxes, of which a field count showed about 274 hatched.

(a) Find a point estimate p̂1 for p1, the proportion of eggs that hatch in group I nest box placements. (Round your answer to three decimal places.)
1 = 

Find a 99% confidence interval for p1. (Round your answers to three decimal places.)
lower limit       
upper limit  

(b) Find a point estimate p̂2 for p2, the proportion of eggs that hatch in group II nest box placements. (Round your answer to three decimal places.)
2 = 

Find a 99% confidence interval for p2. (Round your answers to three decimal places.)
lower limit       
upper limit  

(c) Find a 99% confidence interval for p1 − p2. (Round your answers to three decimal places.)
lower limit      
upper limit  
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