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

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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 495 eggsin group I boxes, of which a field count showed about 268 hatched.Group II nesting boxes were placed in highly visible locations andgrouped closely together. There were a total of 784 eggs in groupII boxes, of which a field count showed about 272 hatched.
(a) Find a point estimate pÌ‚₁ forp₁, the proportion of eggs that hatch in groupI nest box placements. (Round your answer to three decimalplaces.)
pÌ‚₁ =Â Â

Find a 95% confidence interval for p₁. (Roundyour answers to three decimal places.)
lower limitÂ Â Â Â Â
upper limit

(b) Find a point estimate pÌ‚₂ forp₂, the proportion of eggs that hatch in groupII nest box placements. (Round your answer to three decimalplaces.)
pÌ‚₂ =Â Â

Find a 95% confidence interval for p₂. (Roundyour answers to three decimal places.)
lower limitÂ Â Â Â Â
upper limit

(c) Find a 95% confidence interval for p₁ âˆ’p₂. (Round your answers to three decimalplaces.)
lower limitÂ Â Â Â
upper limit

Answer & Explanation Solved by verified expert

3.7 Ratings (499 Votes)

a p1cap 268495 0541 sample proportion 0541 sample size n 495 Standard error SE sqrtpcap 1 pcapn SE sqrt0541 1 0541495 00224 Given CI level is 95 hence 1 095 005 2 0052 0025 Zc Z2 196 Margin of See Answer

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