for instance to figure out how popular a given candidate is, a common trick is to just er they support that candidate, and take the support to be the faction of people who say yes candidate out of 100 asked, we estimate the support at 70% or 0.7. Suppose that the proba a candidate is p, which you do not know. Let pn be the fraction of N people polled who su 1 supporters divided by N people polled. listribution of N * p„? expected value of PN is p, i.e., pN is a valid estimator for p. timated value of p to be accurate, you want your 'error' on pN to be small. ople N should you poll to guarantee the erpected squared error on pN is less than e? ople N should you poll to guarantee the expected squared error on pN is less than e, even problems, we considered the average or expected squared error. But just because the exỊ 't mean the actual error is small. ople N should you poll to guarantee the actual error on îy is less than e with 95% confi on't know p?
for instance to figure out how popular a given candidate is, a common trick is to just er they support that candidate, and take the support to be the faction of people who say yes candidate out of 100 asked, we estimate the support at 70% or 0.7. Suppose that the proba a candidate is p, which you do not know. Let pn be the fraction of N people polled who su 1 supporters divided by N people polled. listribution of N * p„? expected value of PN is p, i.e., pN is a valid estimator for p. timated value of p to be accurate, you want your 'error' on pN to be small. ople N should you poll to guarantee the erpected squared error on pN is less than e? ople N should you poll to guarantee the expected squared error on pN is less than e, even problems, we considered the average or expected squared error. But just because the exỊ 't mean the actual error is small. ople N should you poll to guarantee the actual error on îy is less than e with 95% confi on't know p?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.2: Introduction To Probability
Problem 52E
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