The percentage of people not covered by health care insurance was 15.8%. A congressional committee has...

The percentage of people not covered by health care insurance was 15.8%. A congressional committee has been charged with conducting a sample survey to obtain more current information.

What sample size would you recommend if the committee's goal is to estimate the current proportion of individuals without health care insurance with a margin of error of 0.03? Use a 95% confidence level.
Repeat part (a) using a 99% confidence level

Expert Solution

a)

here margin of error E =	0.03
for95% CI crtiical Z =	1.960
estimated prop.=p=	0.1580
required sample size n=	p(1-p)(z/E)²=	568

b)

here margin of error E =	0.03
for99% CI crtiical Z =	2.576
estimated prop.=p=	0.1580
reqd. sample size n=	p(1-p)(z/E)²=	981

(if z score is restricted to 2 decimals , above should be 984)

orchestra answered 2 years ago

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