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In: Statistics and Probability

The dean of the school wants to know the proportion of students in the school who...

The dean of the school wants to know the proportion of students in the school who prefer online classes for the next semester. How do you conduct a research to estimate this proportion by sampling (suppose that you can take only one sample of size n which is smaller than the population size N, and also suppose that a %90 percent confidence interval is fine). - You should explain all steps you take including how you make decision about sample size, what question you ask from the sample, the estimator you choose and the reason for that, how you calculate this estimator, and how you build a confidence interval for the parameter based on this estimator..

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Expert Solution

We have sample of size n from a population of size N. Also, we have level of significance, = 0.10.

Now, the Dean of the school wants to know the population proportion of students in the school who prefer online classes for the next semester.

Let, number of students who prefer online classes be x. Then the proportion of students in the school who prefer online classes for the next semester be,

Now, the critical value for the confidence interval would be Z/2 .

Therefore, the 90% confidence interval would be :



orchestra answered 2 years ago
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