In: Statistics and Probability
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 493 eggs in group I boxes, of which a field count showed about 272 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 810 eggs in group II boxes, of which a field count showed about 276 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 = .552 Correct: Your answer is correct. Find a 90% confidence interval for p1. (Round your answers to three decimal places.) lower limit .515 Correct: Your answer is correct. upper limit .589 Correct: Your answer is correct. (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 = .3407 Correct: Your answer is correct. Find a 90% confidence interval for p2. (Round your answers to three decimal places.) lower limit .313 Correct: Your answer is correct. upper limit .368 Correct: Your answer is correct. (c) Find a 90% confidence interval for p1 − p2. (Round your answers to three decimal places.) lower limit .054 Incorrect: Your answer is incorrect. upper limit .154 Incorrect: Your answer is incorrect.
All answers are highlighted in red.
Refer Standard normal table/Z-table or use excel function "=NORM.S.INV((1-0.05))" to find the Z-value. |
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