a) What does each line segment represent? b) Why is there a dot in the middle of each line segment? What does it represent? c) All of the confidence intervals are the same length. Why does this make sense?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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5) The image below represents 100 confidence intervals with p=0.80 and n=100.
Confidence intervals for p, p=0.8, Type=Standard-Wald
Sample size: 100
100 intervals| 1000 intervals
Reset
Info
Sort graph
Intervals
CI Level
Containing p
Total
Prop. contained
81
0.95
94
100
0.94
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
0.2
0.4
0.6
100
Intervals 1 to 100
a) What does each line segment represent?
b) Why is there a dot in the middle of each line segment? What does it
represent?
c) All of the confidence intervals are the same length. Why does this make
sense?
d) Circle a confidence interval that does not accurately estimate the population
proportion. Why doesn't this interval contain p?
e) What percentage of the confidence intervals plotted here accurately estimate
the population proportion? (In other words, what percentage of the
confidence intervals plotted here contain p=0.80?)
f) In the long run, if we collected thousands and thousands of random samples,
what percentage of the associated confidence intervals will contain p? Why
do you think so?
g) What do you think "95% confident" means?
Transcribed Image Text:5) The image below represents 100 confidence intervals with p=0.80 and n=100. Confidence intervals for p, p=0.8, Type=Standard-Wald Sample size: 100 100 intervals| 1000 intervals Reset Info Sort graph Intervals CI Level Containing p Total Prop. contained 81 0.95 94 100 0.94 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 0.2 0.4 0.6 100 Intervals 1 to 100 a) What does each line segment represent? b) Why is there a dot in the middle of each line segment? What does it represent? c) All of the confidence intervals are the same length. Why does this make sense? d) Circle a confidence interval that does not accurately estimate the population proportion. Why doesn't this interval contain p? e) What percentage of the confidence intervals plotted here accurately estimate the population proportion? (In other words, what percentage of the confidence intervals plotted here contain p=0.80?) f) In the long run, if we collected thousands and thousands of random samples, what percentage of the associated confidence intervals will contain p? Why do you think so? g) What do you think "95% confident" means?
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