Çözüldü Statistical Estimation for Population Proportion

https://i72.servimg.com/u/f72/19/97/10/39/soru11.jpg
https://www.facebook.com/photo?fbid=3392897700996783&set=gm.1503048493426766

Sample Proportion (the point estimate of the population proportion): p' = 450 / 720 = 5 / 8 = 0.625
q' = 1 - 5 / 8 = 3 / 8 = 0.375
Confidence Level: 0.99
α = 1 - 0.99 = 0.01
α / 2 = 0.005
z(α / 2) = 2.575
Error Bound for the Proportion (EBP) = 2.575·[ (5 / 8)·(3 / 8) / 720 ]^0.5 = 0.0464
Confidence Interval Estimate for The True (Binomial) Proportion: (p' - EBP, p' + EBP)
p' - EBP = 0.625 - 0.0464 = 0.5786
p' + EBP = 0.625 + 0.0464 = 0.6714

In conclusion, it is estimated with 99% confidence that between 58% and 67% of the Netflix viewers would watch the new series.

References:
https://opentextbc.ca/introstatopenstax/chapter/a-population-proportion/
https://www2.southeastern.edu/Academics/Faculty/dgurney/Math241/StatTopics/ZAlpha.htm