Question

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 465 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 782 eggs in group II boxes, of which a field count showed about 260 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.)

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(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.)

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

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Answer 1

All answers are highlighted in red.

Refer Standard normal table/Z-table or use excel function "=NORM.S.INV((1-0.005))" to find the Z-value.

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