In: Statistics and Probability
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?
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