You should have seen that if the sample size is large enough, the distribution of sample proportions will have a standard deviation of 

From this formula you can see that the SD of is p̂ affected only by the sample size and the population proportion. 

a. As the sample size increases, how does the value of SD of p̂ change? Does it increase or decrease? 

b. What value or values of π gives the largest value of the SD of p̂? 

c. What value or values of π gives the smallest value of SD of p̂?

Transcribed Image Text:

√(1-π)/n, or simply SD of p = √√√л(¹ - π)/n.