ANSWER PART A B C D PART C (c)Observe that for the 18/ twenty = 90% of the samples, the confidence interval of 95% contains the population proportion. Choose the correct statement.   ___ When calculating confidence intervals of 95% for twenty samples of the same population size, the percentage of the samples containing the population proportion should be close to the 95% ,but it may not be exactly the 95%.   ___ When calculating confidence intervals of 95% for twenty samples of the same size of the population, at most 95% of the samples will contain the population proportion.   ___ When calculating confidence intervals of 95% for twenty samples of the same size from the population, exactly the 95% of the samples must contain the population proportion. There must have been an error with the way we've chosen the samples.   PART D Choose ALL the options that are true.   ___ If there were a Sample 21 of size = n o 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.

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ANSWER PART A B C D

PART C

(c)Observe that for the 18/ twenty = 90% of the samples, the confidence interval of 95%
contains the population proportion. Choose the correct statement.
 
___ When calculating confidence intervals of 95% for twenty samples of the same population size, the percentage of the samples containing the population proportion should be close to the 95% ,but it may not be exactly the
95%.
 
___ When calculating confidence intervals of 95% for twenty samples of the same size of the population, at most
95% of the samples will contain the population proportion.
 
___ When calculating confidence intervals of 95% for twenty samples of the same size from the population, exactly the 95% of the samples must contain the population proportion. There must have been an error with the way we've chosen the samples.
 
PART D
Choose ALL the options that are true.
 
___ If there were a Sample 21 of size = n o 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.
M12 0.66 0.61 0.71 0.58 0.74
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
HHHH
0.47
the correct statement.
+H
|+++
0.84 0.47
+||||
HHH
18
(c) Observe that for the =90%of the samples, the confidence interval of95%contains the population proportion. Choose
twenty
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%fortweabyples of the same size of the population, at most95%of the
samples will contain the population proportion.
When calculating confidence intervals of95%fortweanvples of the same size from the population, exactly the95%of
X
Ś
Transcribed Image Text:M12 0.66 0.61 0.71 0.58 0.74 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 HHHH 0.47 the correct statement. +H |+++ 0.84 0.47 +|||| HHH 18 (c) Observe that for the =90%of the samples, the confidence interval of95%contains the population proportion. Choose twenty 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%fortweabyples of the same size of the population, at most95%of the samples will contain the population proportion. When calculating confidence intervals of95%fortweanvples of the same size from the population, exactly the95%of X Ś
(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 upper lower upper
limit limit limit limit
M1 0.73 ?
?
?
m2 0.69 0.64
0.74
0.61
0.77
M3 0.64 0.59 0.69 0.56
0.72
M4 0.67 0.62 0.72 0.59
0.75
M5 0.74| 0.69 0.79 0.66 0.82
M6 0.68 0.63
0.76
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
0.73 0.60
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
M12 0.66 0.61
0.71 0.58 0.74
?
80% confidence intervals
95% confidence intervals
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 upper lower upper limit limit limit limit M1 0.73 ? ? ? m2 0.69 0.64 0.74 0.61 0.77 M3 0.64 0.59 0.69 0.56 0.72 M4 0.67 0.62 0.72 0.59 0.75 M5 0.74| 0.69 0.79 0.66 0.82 M6 0.68 0.63 0.76 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 0.73 0.60 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 M12 0.66 0.61 0.71 0.58 0.74 ? 80% confidence intervals 95% confidence intervals
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