The Gallup-Healthways Well-being Index is a comprehensive surveyof the health status of Americans.  A random sample of2,580 adults were asked, "Have you ever been told by a physician ora nurse that you have depression?" Of these, 238 answered"Yes."

Using JMP construct the 99% confidence interval for the trueproportion of Americans who have been told they have depression,and fill in the appropriate bounds in the confidence intervalinterpretation given below. Round your answers totwo decimal places (i.e. 0._ _).

99% confident the true proportion of Americans who have beentold by a physician or nurse they suffer from depression isbetween

and

Question 2 (1 point)

Refer to the scenario given in Question 1. According to theNational Institute of Mental Health, 6.7% of adults suffer fromdepression. Is this percentage supported by the confidence intervalfound in Question1?

Question 2 options:

	Yes, because 6.7% does not fall in the confidence interval.
	There is not enough information given to make adetermination.
	No, because 6.7% does not fall in the confidence interval.

Question 3 (1.5 points)

Question 3 options:

A study investigated ways to prevent staph infection in surgerypatients. In a first step, researchers examined the nasalsecretions of a random sample of 6,771 patients admited to varioushospitals for surgery. They found that 1,251 of these patientstested positive for Staphylococcus aureus, a bacteriumresponsible for most staph infections.

Using JMP, find the 90% confidence interval for the trueprorportion of patients admitted for surgery that tested positivefor Staphylococcus aureus, and fill in the apporpriatebounds in the confidence interval interpretation given below. Roundyour answers to two decimal places (i.e. 0.__).

90% confident the true proportion of patients admitted forsurgery that tested positive for Staphylococcus aureus isbetween

and

Question 4 (1 point)

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Refer to the scenario given in Question 3. Suppose a hospitaldoes not have to implement any measures to control for staphinfections if the percentage of patients who test positive forStaphylococcus aureus is less than 18%. Based on theconfidence interval constructed in Question 3, does the hospitalhave to worry about controlling for staph infections?

Question 4 options:

	Yes, because the entire confidence interval is not below18%.
	Yes, because 18% is in the confidence interval.
	There is not enough information to make a determination.