(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. (b) Press the "Generate Samples" button below to simulate taking samples.19plus size samplesno 129from the same population. Note that theconfidence intervals for these samples are drawn automatically. Then complete parts (c) and (d) below the table.80% 80% 95% 95%PlowerlimitM1 0.73 ?m2 0.69 0.64M3 0.64 0.59M4 0.67 0.62M5 0.74| 0.69M6 0.68 0.63M7 0.65 0.60M8 0.64 0.59M9 0.66 0.61M10 0.57| 0.51M11 0.69 0.64M12 0.66 0.61upper lower upperlimit limit limit???0.740.61 0.770.690.560.720.720.590.750.790.660.820.73 0.600.760.70 0.57 0.730.69 0.56 0.720.71 0.58 0.740.63 0.48 0.660.74 0.61 0.770.71 0.58 0.7480% confidence intervals95% confidence intervals M13 0.65 0.60 0.70 0.570.73M14 0.60| 0.54 0.660.52 0.68M15 0.70| 0.65 0.750.620.78M16 0.68 0.630.730.600.76M17 0.60 0.54 0.66 0.520.68M18 0.76 0.71 0.81 0.69 0.83M19 0.70 0.65 0.75 0.62 0.78M20 0.67 0.62 0.72 0.59 0.75 0.47—twenty+++the correct statement.[I0.84 0.47H18(c) Observe that for the =90%of the samples, the confidence interval of95%contains the population proportion. Choose▬▬▬++0.84When calculating confidence intervals of95%fortweatyples of the same population size, the percentage of thesamples 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 thesamples will contain the population proportion.When calculating confidence intervals of95%fortwsatyples of the same size from the population, exactly the95% ofthe samples must contain the population proportion. There must have been an error with the way we've chosen thesamplesXŚ

p^80% lower limit80% upper limit95% lower limit95% upper…

Answered: (d)Choose ALL the options that are…

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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(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.