64 573
Assignments Done
99,2%
Successfully Done
In September 2018

Answer to Question #39961 in Statistics and Probability for Precht

Question #39961
I realise that my question is quite simplistic for this site but I will ask anyway. I am wondering if Percentage results become more unreliable the smaller the group is(I am not referring to a sample of the group rather questioning the whole group). If yes, is there a way to determine that? For example 5% of the 30 people that received a direct-sales call hang up the phone = Does that mean that 30% of 8 people called would be expected to hang up? or is the percentage unreliable the smaller the number which is my main question? I hope that this was clear enough. Thank you very much
Expert's answer
Your thought that the reliability of p^ is reduced for small p is correct. Consider the case of a sample of a single person. You can build a Binomial confidence interval around p^ - it's determined only by the number of 'successes' and the number of total events (n). This confidence interval will reflect the uncertainty caused by the finite size of the sample - the smaller n is, the larger the interval will become.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be first!

Leave a comment

Ask Your question

Submit
Privacy policy Terms and Conditions