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 489 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 821 eggs in group II boxes, of which a field count showed about 262 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 four decimal places.) p̂1 = Find a 95% confidence interval for p1. (Round your answers to three decimal places.) lower limitupper limit (b) Find a point estimate p̂2 for p2, the proportion of eggs that hatch in group II nest box placements. (Round your answer to four decimal places.) p̂2 = Find a 95% confidence interval for p2. (Round your answers to three decimal places.) lower limitupper limit (c) Find a 95% confidence interval for p1 − p2. (Round your answers to three decimal places.) lower limitupper limit
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 489 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 821 eggs in group II boxes, of which a field count showed about 262 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 four decimal places.) p̂1 = Find a 95% confidence interval for p1. (Round your answers to three decimal places.) lower limitupper limit (b) Find a point estimate p̂2 for p2, the proportion of eggs that hatch in group II nest box placements. (Round your answer to four decimal places.) p̂2 = Find a 95% confidence interval for p2. (Round your answers to three decimal places.) lower limitupper limit (c) Find a 95% confidence interval for p1 − p2. (Round your answers to three decimal places.) lower limitupper limit
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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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 489 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 821 eggs in group II boxes, of which a field count showed about 262 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 four decimal places.)
p̂1 =
Find a 95% confidence interval for p1. (Round your answers to three decimal places.)
lower limitupper limit
(b)
Find a point estimate p̂2 for p2, the proportion of eggs that hatch in group II nest box placements. (Round your answer to four decimal places.)
p̂2 =
Find a 95% confidence interval for p2. (Round your answers to three decimal places.)
lower limitupper limit
(c)
Find a 95% confidence interval for p1 − p2. (Round your answers to three decimal places.)
lower limitupper limit
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