This exercise involves the use of an unrealistically small population to provide a concrete illustration for the
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a. Determine the population proportion, p.
b. The first column of the following table provides the possible samples of size 2, where each person is represented by the first letter of his or her first name; the second column gives the number of successes€”the number of females obtained€”for each sample; and the third column shows the sample proportion. Complete the table.
c. Construct a dotplot for the sampling distribution of the proportion for samples of size 2. Mark the position of the population proportion on the dotplot.
d. Use the third column of the table to obtain the mean of the variable pˆ.
e. Compare your answers from parts (a) and (d). Why are they the same?
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