12.1.11
Question Help
This exercise involves the use of an unrealistically small population to provide a concrete illustration for the exact distribution of a sample proportion. A population
consists of two men and three women. The first names of the men are Thomas and Noah; the first names of the women are Sophia, Olivia, and Gail. Suppose that the
specified attribute is \"male\" and the population proportion is 0.4. Complete parts (a) through (d) below.
a. The first column of the table to the right provides the
possible samples of size 3, where each person is
represented by the first letter of his or her name; the second
column gives the number of successes---the number of
males obtained---for each sample; and the third column
shows the sample proportion. Complete the table.
(Type integers or decimals rounded to two decimal places
as needed.)
Number of males
Sample proportion
Sample
x
$\hat{p}$
T, N, S
2
0.67
T, N, O
2
0.67
T, N, G
2
0.67
T, S, O
1
0.33
T, S, G
T, O, G
N, S, O
N, S, G
N, O, G
S, O, G