ems: 1. Answer the following concept questions in 1-3 sentences each. (a) Is a sample mean likely to be exactly equal to the population mean? Explain why or why not. (b) Will the sample mean (or...


Answer D and E


ems:<br>1. Answer the following concept questions in 1-3 sentences each.<br>(a) Is a sample mean likely to be exactly equal to the population mean? Explain why or why<br>not.<br>(b) Will the sample mean (or sample proportion) always be inside a confidence interval for the<br>population mean (or the population proportion)? Explain why or why not.<br>(c) Suppose you have one dataset. You create two different confidence intervals from it, a 92.6%<br>confidence interval, and a 96.2% confidence interval. Which interval will be wider?<br>(d) Setup:<br>You obtain a dataset from a random sample.<br>• You double-checked your dataset, and there were no typos, and no errors.<br>• All conditions were met to develop a confidence interval.<br>• You develop a 94% confidence interval for the population proportion p, and your confi-<br>dence interval is 0.465 < p< 0.685.<br>• You double-checked your calculations, and everything was done correctly.<br>0.39. Why<br>Question: Later, you find out that the actual population proportion is p<br>doesn't your confidence interval contain the actual population proportion?<br>(e) Explain why you might want to potentially use the formula n ><br>instead of n ><br>4h2<br>pô (1 – p)<br>h2<br>for the population proportion. In the formula, h represents the amount of error you are<br>willing to accept, and p represents the sample proportion.<br>when calculating the sample size required when finding a confidence interval<br>

Extracted text: ems: 1. Answer the following concept questions in 1-3 sentences each. (a) Is a sample mean likely to be exactly equal to the population mean? Explain why or why not. (b) Will the sample mean (or sample proportion) always be inside a confidence interval for the population mean (or the population proportion)? Explain why or why not. (c) Suppose you have one dataset. You create two different confidence intervals from it, a 92.6% confidence interval, and a 96.2% confidence interval. Which interval will be wider? (d) Setup: You obtain a dataset from a random sample. • You double-checked your dataset, and there were no typos, and no errors. • All conditions were met to develop a confidence interval. • You develop a 94% confidence interval for the population proportion p, and your confi- dence interval is 0.465 <>< 0.685.="" •="" you="" double-checked="" your="" calculations,="" and="" everything="" was="" done="" correctly.="" 0.39.="" why="" question:="" later,="" you="" find="" out="" that="" the="" actual="" population="" proportion="" is="" p="" doesn't="" your="" confidence="" interval="" contain="" the="" actual="" population="" proportion?="" (e)="" explain="" why="" you="" might="" want="" to="" potentially="" use="" the="" formula="" n=""> instead of n > 4h2 pô (1 – p) h2 for the population proportion. In the formula, h represents the amount of error you are willing to accept, and p represents the sample proportion. when calculating the sample size required when finding a confidence interval

Jun 10, 2022
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