Proportion of Multiples of 3
An observation of the outcomes of rolling a die has about 33.33% multiples of 3 and 66.67% non-multiples of 3, because two of the six outcomes are multiples of 3 (3 and 6) and four are not (1, 2, 4, and 5).
a. Find the proportion of multiples of 3 in the following observations from a random roll of a die. Count carefully.
31256 12351 34235
26346 43151 61322
b. Does the proportion found in part a represent pn (the sample proportion) or p (the population proportion)?
c. Find the error in this estimate, the difference between pn and p (or pn - p).