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In the Focus Problem at the beginning of this chapter, a study was described comparing the...

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 491 eggs in group I boxes, of which a field count showed about 270 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 800 eggs in group II boxes, of which a field count showed about 272 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 90% 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 90% confidence interval for p2. (Round your answers to three decimal places.)

lower limit
upper limit


(c) Find a 90% confidence interval for p1 − p2. (Round your answers to three decimal places.)

lower limit    
upper limit
Math   Statistics-And-Probability   
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