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Verizon LTE 7:30 PM * 60% webwork.pcc.edu (1985-198... Ep9-The...Ep8- The Members. The King's..My Course... Syllabus M. WeBWo... Logged in as aaron hodges Log Out webwork/ mth243-rupp-201801/ MAIN MENU Courses bomewokProportion and Confidence Intervals: Propotion Problem 9 Sets and Previous Problem Problem List Next Problem (1 point) (a) A random sample of elementary school children in New York state is to be selected to estimate the proportion p who have received a medical examination during the past year. The survey found that x 720 children were examined during the past year. Construct the 95% confidence interval estimate of the population proportion p if the sample size was n = 900 Grades P

Explanation / Answer

Soolutiona:

x=720

n=900

p^=x/n=720/900=0.8

z crit for 95%=1.96

95% confidence inetrval for population proportion is

p^-zcrit*sqrt(p^(1-p^)/n), p^+z crit*sqrt(p^(1-p^)/n)

0.8-1.96sqrt(0.8*(1-0.8)/900,0.8+1.96sqrt(0.8*(1-0.8)/900

0.774<p<0.826

lower limit=0.774

upper limit=0.826

ANSWER:

0.774<p<0.826

Solutionb:

optionc

we can be 95% confident tht the percentage of all elementary school children in NY who have received medical examination during thepast year lies in this interval.

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