(d)Choose ALL the options that are true. ____ If there were a Sample 21 of sizen σ 160 with the same sample proportion as Sample 15, then the confidence interval of 80% for Sample 21 would be wider than the confidence interval of 80% for Sample 15. ___ The confidence interval of 80% for Sample 15 is narrower than the confidence interval of 95% for Sample 15. This must be so since when calculating a confidence interval for a sample, the higher the confidence level, the wider the confidence interval. ___ Although the 80% (a confidence level) is not equal to 0.67 (the population proportion), it could be that a confidence interval of 80% contains the proportion of the population 0.67 ___ From the confidence interval of 95% for Sample 15, we know that there is a probability of 95% that the proportion of the population is between 0.47 and 0.84 ___ None of the above options is true.
(d)Choose ALL the options that are true. ____ If there were a Sample 21 of sizen σ 160 with the same sample proportion as Sample 15, then the confidence interval of 80% for Sample 21 would be wider than the confidence interval of 80% for Sample 15. ___ The confidence interval of 80% for Sample 15 is narrower than the confidence interval of 95% for Sample 15. This must be so since when calculating a confidence interval for a sample, the higher the confidence level, the wider the confidence interval. ___ Although the 80% (a confidence level) is not equal to 0.67 (the population proportion), it could be that a confidence interval of 80% contains the proportion of the population 0.67 ___ From the confidence interval of 95% for Sample 15, we know that there is a probability of 95% that the proportion of the population is between 0.47 and 0.84 ___ None of the above options is true.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
(d)Choose ALL the options that are true.
____ If there were a Sample 21 of sizen σ 160 with the same sample proportion as Sample 15, then the confidence interval of 80% for Sample 21 would be wider than the confidence interval of 80% for Sample 15.
___ From the confidence interval of 95% for Sample 15, we know that there is a probability of 95%
that the proportion of the population is between 0.47 and 0.84
that the proportion of the population is between 0.47 and 0.84
___ None of the above options is true.
Transcribed Image Text:(b) Press the "Generate Samples" button below to simulate taking samples.19plus size samplesno 129from the same population. Note that the
confidence intervals for these samples are drawn automatically. Then complete parts (c) and (d) below the table.
80% 80% 95% 95%
P
lower
limit
M1 0.73 ?
m2 0.69 0.64
M3 0.64 0.59
M4 0.67 0.62
M5 0.74| 0.69
M6 0.68 0.63
M7 0.65 0.60
M8 0.64 0.59
M9 0.66 0.61
M10 0.57| 0.51
M11 0.69 0.64
M12 0.66 0.61
upper lower upper
limit limit limit
?
?
?
0.74
0.61 0.77
0.69
0.56
0.72
0.72
0.59
0.75
0.79
0.66
0.82
0.73 0.60
0.76
0.70 0.57 0.73
0.69 0.56 0.72
0.71 0.58 0.74
0.63 0.48 0.66
0.74 0.61 0.77
0.71 0.58 0.74
80% confidence intervals
95% confidence intervals
Transcribed Image Text:M13 0.65 0.60 0.70 0.57
0.73
M14 0.60| 0.54 0.66
0.52 0.68
M15 0.70| 0.65 0.75
0.62
0.78
M16 0.68 0.63
0.73
0.60
0.76
M17 0.60 0.54 0.66 0.52
0.68
M18 0.76 0.71 0.81 0.69 0.83
M19 0.70 0.65 0.75 0.62 0.78
M20 0.67 0.62 0.72 0.59 0.75 0.47
—
twenty
+++
the correct statement.
[I
0.84 0.47
H
18
(c) Observe that for the =90%of the samples, the confidence interval of95%contains the population proportion. Choose
▬▬▬++
0.84
When calculating confidence intervals of95%fortweatyples of the same population size, the percentage of the
samples containing the population proportion should be close to the95%, but it may not be exactly the95%.
When calculating confidence intervals of95%fortweatyples of the same size of the population, at most95%of the
samples will contain the population proportion.
When calculating confidence intervals of95%fortwsatyples of the same size from the population, exactly the95% of
the samples must contain the population proportion. There must have been an error with the way we've chosen the
samples
X
Ś
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