Question

In: Statistics and Probability

Suppose a large consignment of cameras contained 6% defectives. If a sample of size 226 is...

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

Solutions

Expert Solution

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


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