n a 2008â€‹ survey, people were asked their opinions on astrologyâ€‹ - whether it was veryâ€‹...

3.6 Ratings (485 Votes)

Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â xÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â =Â Â	76
sample size		nÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â =		1438.0
sample proportionÂ Â Â Â pÌ‚	x/n=		0.0529

std errorÂ Â Â Â Â Â =Se	Â Â Â Â Â Â Â Â Â Â =âˆš(p*(1-p)/n) =	0.0059

for 95 % CI value of z=			1.96
margin of error E=z*std errorÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â =		0.0116
lower confidence bound=sample proportion-margin of error	0.0413
Upper confidence bound=sample proportion+margin of error	0.0645

Â Â Â proportion of people in the survey who believe astrology is very scientific =0.0529

95% confidence interval for the population proportion =0.041 , 0.064

Yes as 5% falls within confidence interval

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