Question

In: Statistics and Probability

In a recent year, the Better Business Bureau settled 73% of complaints they received. You have...

In a recent year, the Better Business Bureau settled 73% of complaints they received. 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 0.73, as mentioned above. Suppose your sample size is 190. Please answer the following questions, and show your answers to 4 decimal places if possible.

a. What is the distribution of ˆpp^? ˆpp^ ~ N( , )  

b. What is the probability that the sample proportion will be within 4 percent of the population proportion?

Solutions

Expert Solution

Given:

Sample size, n = 190

Sample proportion, = 0.73

Population proportion, p = 0.73

Therefore the probability that the sample proportion will be within 4 percent of the population proportion is 0.7850


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