Chapter 7, Problem 33SE

What Is the Proportion of Seniors? (Example 5) A population of college students is taking an advanced math class. In the class are three juniors and two seniors. Using numbers 1, 2, and 3 to represent juniors and 4 and 5 to represent seniors, sample without replacement. Draw a sample of two people four times (once in each of parts a, b, c, and d), and then fill in the following table.

a. Use the first line (reprinted here) from the random number table to select your sample of two. (The selections are underlined.)

$\begin{array}{cccc}0\underset{\_}{2}779 & 726\underset{\_}{4}5& 32699& 86009\end{array}$

Report the percentage of seniors in the sample. (Count the number of 4's and 5's and divide by the sample size 2.)

b. Use the next line to select your sample of two.

$\begin{array}{cccc}\underset{¯}{31}867 & 85872& 91430& 45554\end{array}$

Report the percentage of seniors in the sample.

c. Use the next line to select your sample of two.

$\begin{array}{cccc}070\underset{\_}{3}3& 75250 & 34546& 75298\end{array}$

Report the percentage of seniors in the sample.

d. Use the last line to select your sample of two.

$\begin{array}{cccc}09084& 98948& 09541& 80623\end{array}$

Report the percentage of seniors in the sample.

e. Fill in the rest of the table below, showing the results of the four samples.