S.P.2.2 Confidence Intervals and Sleep

S.P.2.2 Confidence Intervals and Sleep

I will be able to determine that a sample meets the conditions for a margin of error. I will be able to use critical values to create a margin of error for a certain confidence level. I can find confidence intervals.

Open Ended

Identify the parameter of interest. What is it we are looking for?

Multiple Choice

Condition #1: Is this a random sample?

• yes

• no

Multiple Choice

Condition #2: 10% condition. Is 1029 U.S. adults less than 10% of the U.S. population (U.S. population is about 331 million people)

• yes

• no

Multiple Choice

Condition #3: Large count. Is 1029 x 0.48 and 1029 x 0.52 greater than 10?

• yes

• no

Conditions met

Now that all three conditions are met we can find the margin of error using critical values and the standard error formula.

Open Ended

The critical value for a 98% confidence level is 2.326. What is the margin of error?

Multiple Choice

What is the point estimate that was established in the problem?

• 0.48

• 0.52

Multiple Choice

What is the lower bound of the confidence interval?

hint: point estimate minus the margin of error

• 0.36

• 0.444

Multiple Choice

What is the upper bound of the confidence interval?

hint: the point estimate plus the margin of error

• 0.516

• 0.672

Open Ended

Using the picture to guide your writing, interpret the interval in context of the problem.

Poll

Are you surprised by the National Sleep Foundation's recommendations for number of hours of sleep teens should get?

• yes

• no

Poll

In the last 7 nights, did you get enough sleep?

• Always

• Often

• Sometimes

• Rarely

• Never

Open Ended

Using our results, can we find a 98% confidence level of seniors at ICI that responded "often or always" got enough sleep in the last 7 nights?

Check the 3 conditions

Find the Margin of Error (critical value=2.326)

Find the confidence interval (lower and upper bound)

Open Ended

Questions or concerns?