Learn by DoingNow take the opportunity to participate in th

Learn by DoingNow take the opportunity to participate in this Learn by Doing discussion.PromptUse the applet to select 20 different randomsamples of 100 part-time college students. For each sample the appletcalculates the 95% confidence interval. How many of the 20 randomsamples do not contain the population proportion? Is this what youexpected? Explain.Hint answer : Answerswill vary (a little). But we expect 95% (19 out of 20) of the intervalsto contain the population proportion. So we expect 5% (1 out of 20)will not contain the population proportion. Of course, the confidence level is a long run probability, sowe may not get exactly these results. But in the long run with many,many repetitions, we expect 95% of the confidence intervals to containthe population proportion.Example for student answer : 5% (1 out of 20) of the random samples do not contain thepopulation proportion and also since only 1 out of 2 did not contain it,we expect that only 95% ( 19/20) to contain the sample proportion. Yes,this is what I expected because every time you select a random sampleit is not always going to be within 2 standard error, it has to shiftone way or another.

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