Question: Online learning. Recently the U.S. Department of Education released a report on online learning stating that blended instruction, a combination of conventional face-to-face and online instruction, appears more effective in terms of student performance than conventional teaching. You decide to poll the incoming students at your institution to see if they prefer courses that blend face-to-face instruction with online components. In an SRS of 400 incoming students, you find 294 prefer this type of course.

1. What is the sample proportion who prefer this type of blended instruction?
2. Suppose the population proportion for all students nationwide is \(80 \% .\) What is the standard deviation of \(\hat{p}\) ?
3. Using the 68-95-99. 7 rule, if you had drawn an SRS from the United States, you would expect \(\hat{p}\) to fall between what two percents about \(95 \%\) of the time?

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