Chapter 7, Problem 29SE

Proportion of Odd Digits A large collection of one-digit random numbers should have about $50\%$ odd and $50\%$ even digits, because five of the ten digits are odd $\left(1,3,5,7,\text{ and }9\right)$ and five are even $\left(0,2,4,6,\text{ and }8\right)$.

a. Find the proportion of odd-numbered digits in the following lines from a random number table. Count carefully.

b. Does the proportion found in part a represent $\hat{p}$ (the sample proportion) or $p$ (the population proportion)?

c. Find the error in this estimate, the difference between $\hat{p}$ and $p$ (or $\hat{p}-p$ ).