In: Statistics and Probability
Suppose a large consignment of cameras contained 6% defectives. If a sample of size 226 is selcted what is the probablity that the sample proportion will differ from the population proportion by less than 3%? Round answer to four decimal places
Given that, population proportion (p) = 0.06
sample size (n) = 226
The mean and standard deviation of the sampling distribution of sample proportion are,
We want to find,
Therefore, required probability is 0.9426
Note : Using TI-83 plus calculator we get, probability = 0.9395