Question

Question2: A city council is considering drafting legislation related to the exclusion of renters with children. Since implementation will be expensive, they will only consider proceeding if the true proportion of apartments that prohibit children is more than 75 percent. Suppose that out of 125 sampled apartments, 102 exclude renters with children.

What is the true proportion of apartments which exclude renters with children? I thought the answer was 0.75 but I am incorrect and I would like a step-by-step explanation.

Thanks

Answer 1

We know that the true proportion means population proportion of apartments which exclude renters with children.

In the given question, there is no data value for the population proportion of apartments which exclude renters with children. We only have data for the sample proportion, i.e. x/n = 102/125 = 0.816 or 81.6%, but we cannot find the true proportion.

Therefore, We can say that the true proportion of apartments which exclude renters with children is unknown