Question

In: Statistics and Probability

Create one 90%, one 95%, and one 99.7% confidence interval for the question: Last night did...

Create one 90%, one 95%, and one 99.7% confidence interval for the question:

Last night did you get at least 8 hours of sleep?

Yes: 11

No: 48

Total: 59

Solutions

Expert Solution

We have been provided with the following information about the number of favorable cases:

Favorable Cases X = 11
Sample Size N = 59

The sample proportion is computed as follows, based on the sample size N=59 and the number of favorable cases X=11:

a)

We need to construct the 90% confidence interval for the population proportion.

b)

We need to construct the 95% confidence interval for the population proportion.

c)

We need to construct the 99.7% confidence interval for the population proportion.

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