5. A study was conducted using a random sample of women who gave birth between 1998 and 2000. The purpose of the study was to quantify the association between post-partum depression and subsequent health outcomes, including being homeless for at least some of the time between 2 and 3 years after giving birth. For brevity, this outcome will be referred to as "homeless" in the relevant questions. Of the 375 women who had post-partum depression, 75 were homeless. Of the 2,600 women who did not have post-partum depression, 286 were homeless. Suppose 1,000 public health graduate students were each asked to survey two women randomly selected from the population of all women who gave birth between 1998 - 2000. For each of these 1,000 samples, the proportion of the women in the sample who had been homeless was computed. A histogram was made of these 1,000 sample proportions. Which of the following statements best described this histogram? Because the size of each sample is large, this distribution should be approximately normal because of the Central Limit Theorem. Because there are 1,000 values in the histogram, the histogram should be approximately normal. Because n=2 for each sample, the histogram will have a maximum of three bars at the values 0, 2, and 1. O This cannot be answered without access to a standard normal table.

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