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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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 483 eggs in group I boxes, of which a field count
showed about 266 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 788 eggs
in group II boxes, of which a field count showed about 266 hatched.
(a) Find a point estimate p, for p1, the proportion of eggs that hatch in group I nest box placements. (Round your answer to three decimal
places.)
P1 =
Find a 95% confidence interval for p1. (Round your answers to three decimal places.)
lower limit
upper limit
(b) Find a point estimate p, for p2, the proportion of eggs that hatch in group II nest box placements. (Round your answer to three decimal
places.)
P2 =
Find a 95% confidence interval for p2. (Round your answers to three decimal places.)
lower limit
upper limit
(c) Find a 95% confidence interval for p, - P2. (Round your answers to three decimal places.)
lower limit
upper limit
Transcribed Image Text: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 483 eggs in group I boxes, of which a field count showed about 266 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 788 eggs in group II boxes, of which a field count showed about 266 hatched. (a) Find a point estimate p, for p1, the proportion of eggs that hatch in group I nest box placements. (Round your answer to three decimal places.) P1 = Find a 95% confidence interval for p1. (Round your answers to three decimal places.) lower limit upper limit (b) Find a point estimate p, for p2, the proportion of eggs that hatch in group II nest box placements. (Round your answer to three decimal places.) P2 = Find a 95% confidence interval for p2. (Round your answers to three decimal places.) lower limit upper limit (c) Find a 95% confidence interval for p, - P2. (Round your answers to three decimal places.) lower limit upper limit
Expert Solution
Step 1

It is required to obtained the confidence inteval for given proportion.

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