A pediatrician has three patients with measles and they are ages 4, 6, and 7. Assume that samples of size n=2 are randomly selected with replacement from the population of 4, 6, and 7. Listed below are the nine different possible samples. Complete parts (a) through (d) below. 4,4 4,6 4,7 6,4 6,6 6,7 7,4 7,6 7,7 O a. For the population, find the proportion of odd numbers. p= Type an integer or a simplified fraction.) b. Construct a probability distribution table that describes the sampling distribution of the proportion of odd numbers when samples of sizesn=2 are randomly selected. Sample Proportion Probability (Type integers or simplified fractions.) c. Find the mean of the sampling distribution of the sample proportion of odd numbers. The mean is. (Type an integer or a simplified fraction.) d. Based on the preceding results, is the sample proportion an unbiased estimator of the population proportion? Why or why not? O A. The sample proportions do not target the proportion of odd numbers in the population. The sample proportions are an unbiased estimator of the population proportion. O B. The sample proportions do not target the proportion of odd numbers in the population. The sample proportions are not an unbiased estimator of the population proportion. OC. The sample proportions appear to target the proportion of odd numbers in the population. The sample proportions are not an unbiased estimator of the population proportion. O D. The sample proportions appear to target the proportion of odd numbers in the population. The sample proportions are an unbiased estimator of the population proportion.

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