90. Hitchhiker Snails In a sample of 174 live snails of a certain type, it was found that 26 survived after being ingested by birds. (a) What is the best estimate for the proportion of all snails of this type who can survive after being ingested by birds? (b) The figure below shows a bootstrap distribution based on the sample. Estimate the standard error as the standard deviation of the bootstrap distribution. 100 88 Left Tail Two-Tail Right Tall A sample=1000 90 mean = 0.15 80 30 70 60 50 40 30 30 20 20 10 0 0.08 0.10 0.12 0.14 0.18 0.18 0.20 0.22 0.24 0.15 (c) Use the standard error to construct a 95% confidence interval for the proportion of all snails of this type who can survive after being eaten by birds (d) Using the confidence interval, is it plausible that 20% of all snails of this type could survive after being ingested by birds? 91. Are You Distracted by Off-Task Technology in Class? In a study, students were asked if they were often distracted during class by other students who were using phones or laptops for purposes not related to class, (called off-task use)? Figure 3.21 shows a bootstrap distribution for a sample of the proportion of students who answered yes to this question. 200 175 150 125 100 75 75 50 50 25 25 0 0.40 0.42 0.44 0.46 0.48 0.50 0.52 0.49 0.54 0.56 0.50 Figure 3.21 What proportion are distracted by laptops and phones? (a) What is the best estimate of the proportion of all students who would answer yes to this question? (b) Estimate the standard error for the distribution (c) Use the results from (a) and (b) to find a 95% confidence interval for the proportion of all students who would answer yes to the question.
90. Hitchhiker Snails In a sample of 174 live snails of a certain type, it was found that 26 survived after being ingested by birds. (a) What is the best estimate for the proportion of all snails of this type who can survive after being ingested by birds? (b) The figure below shows a bootstrap distribution based on the sample. Estimate the standard error as the standard deviation of the bootstrap distribution. 100 88 Left Tail Two-Tail Right Tall A sample=1000 90 mean = 0.15 80 30 70 60 50 40 30 30 20 20 10 0 0.08 0.10 0.12 0.14 0.18 0.18 0.20 0.22 0.24 0.15 (c) Use the standard error to construct a 95% confidence interval for the proportion of all snails of this type who can survive after being eaten by birds (d) Using the confidence interval, is it plausible that 20% of all snails of this type could survive after being ingested by birds? 91. Are You Distracted by Off-Task Technology in Class? In a study, students were asked if they were often distracted during class by other students who were using phones or laptops for purposes not related to class, (called off-task use)? Figure 3.21 shows a bootstrap distribution for a sample of the proportion of students who answered yes to this question. 200 175 150 125 100 75 75 50 50 25 25 0 0.40 0.42 0.44 0.46 0.48 0.50 0.52 0.49 0.54 0.56 0.50 Figure 3.21 What proportion are distracted by laptops and phones? (a) What is the best estimate of the proportion of all students who would answer yes to this question? (b) Estimate the standard error for the distribution (c) Use the results from (a) and (b) to find a 95% confidence interval for the proportion of all students who would answer yes to the question.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:90. Hitchhiker Snails In a sample of 174 live snails of a certain type, it was found that 26 survived after
being ingested by birds.
(a) What is the best estimate for the proportion of all snails of this type who can survive after being
ingested by birds?
(b) The figure below shows a bootstrap distribution based on the sample. Estimate the standard
error as the standard deviation of the bootstrap distribution.
100
88
Left Tail Two-Tail Right Tall
A sample=1000
90
mean = 0.15
80
30
70
60
50
40
30
30
20
20
10
0
0.08 0.10 0.12 0.14 0.18 0.18 0.20 0.22 0.24
0.15
(c) Use the standard error to construct a 95% confidence interval for the proportion of all snails of
this type who can survive after being eaten by birds
(d) Using the confidence interval, is it plausible that 20% of all snails of this type could survive after
being ingested by birds?
Transcribed Image Text:91. Are You Distracted by Off-Task Technology in Class? In a study, students were asked if they were
often distracted during class by other students who were using phones or laptops for purposes not
related to class, (called off-task use)? Figure 3.21 shows a bootstrap distribution for a sample of
the proportion of students who answered yes to this question.
200
175
150
125
100
75
75
50
50
25
25
0
0.40
0.42
0.44
0.46
0.48
0.50
0.52
0.49
0.54
0.56
0.50
Figure 3.21 What proportion are distracted by laptops and phones?
(a) What is the best estimate of the proportion of all students who would answer yes to this
question?
(b) Estimate the standard error for the distribution
(c) Use the results from (a) and (b) to find a 95% confidence interval for the proportion of all
students who would answer yes to the question.
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