3. The real estate industry claims that it is the best and most effective system
ID: 3053725 • Letter: 3
Question
3. The real estate industry claims that it is the best and most effective system to market residential real estate. A survey of randomly selected home sellers in Illinois found that a 95% confidence interval for the proportion of homes that are sold by a real estate agent is 69% to 81%. Interpret the interval in this context a. We are 95% confident that between 69% and 81% of homes in this survey are sold by a real estate agent D. 95% of all random samples of home sellers in Illinois will show that between 69% and 81% of homes are sold by a real estate agent. C. In 95% of the years, between 69% and 81% of homes in Illinois are sold by a real estate agent d. 95% of all homes in Illinois are sold by a real estate agent e. We are 95% confident that between 69% and 81% of all homes in Illinois are sold by a real estate agent 4. Analysis of a random sample of 250 Virginia nurses produced a 95% confidence interval for the mean annual salary of $42,838Explanation / Answer
Answer to the question is as follows:
3.
c and d are wrong interpretations. The interpretation would have to be w.r.t confidence.
Hence, a, b and e are potential options.
e is wrong interpreation, the 69% to 81% range is for the event.
a is wrong because it doesn't mention sample
b is correct interpretation.
4. b, c and d are wrong interpretations. a is also a wrong interpretation
e. is correct, the confidence interval is to be interpreted as " we are 95% confident that the true mean salary is within this range)
5. d, c and e are wrong. the inference of the CI is about the population' mean age and it cannot be only 1 sided bound. a is not right because it doesn't refer to the interval as a estimate of population mean.
Hence, b is right
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