In the Focus Problem at the beginning of this chapter, a studywas described comparing the hatch ratios of wood duck nestingboxes. Group I nesting boxes were well separated from each otherand well hidden by available brush. There were a total of 465 eggsin 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 782 eggs in groupII boxes, of which a field count showed about 260 hatched.
(a) Find a point estimate p̂1 forp1, the proportion of eggs that hatch in groupI nest box placements. (Round your answer to three decimalplaces.)
p̂1 =
Find a 99% confidence interval for p1. (Roundyour answers to three decimal places.)
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(b) Find a point estimate p̂2 forp2, the proportion of eggs that hatch in groupII nest box placements. (Round your answer to three decimalplaces.)
p̂2 =
Find a 99% confidence interval for p2. (Roundyour answers to three decimal places.)
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(c) Find a 99% confidence interval for p1 −p2. (Round your answers to three decimalplaces.)
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