Question
what goes in the E formula? how do i find the numbers that go into that formula.
thank you!

11.) in 9 poll 503 human resource professiongis 45.97. piercings are red tags A. 45.9%. Of 503 = 45.9 h00 - 503- b.) û E LOCÊ

i dont know how to find the confidence interval.
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Answer #1

Sol:

Here p^=45.9%=0.459

q^=1-p^=1-0.459= 0.541

n=503

if its 90% confidence interval

then z crit for 90%=1.645

so E=1.645*sqrt(0.459*(1-0.459)/503)

E= 0.03654996

90% confience interval for p is

p^-E<p<p^+E

0.459-0.03654996<p<0.459+0.03654996

0.42245<p< 0.49555

90 % lower limit=0.42245

90% upper limit for p= 0.49555

Now to get 95% substitute z=1.96

E=1.96*sqrt(0.459*(1-0.459)/503)

E= 0.04354889

95% confience interval for p is

p^-E<p<p^+E

0.459-0.04354889<p<0.459+0.04354889

0.4154511<p< 0.5025489

95 % lower limit=0.4154511

95% upper limit for p= 0.5025489

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