Question

In a recent year, the Better Business Bureau settled 75% of complaints they received. (Source: USA Today, March 2, 2009) You have been hired by the Bureau to investigate complaints this year involving computer stores. You plan to select a random sample of complaints to estimate the proportion of complaints the Bureau is able to settle. Assume the population proportion of complaints settled for the computer stores is the 0.75, as mentioned above. Suppose your sample size is 125. What is the probability that the sample proportion will be 4 or more percent below the population proportion?

Answer 1

here given n sample is greater than 30 therefore we can apply CLT such as for large n sample statistic tends to normal therefore binomial also tends to normal and here we apply z statistic such as

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