In 2000 a town's population was 35,000 people. In 2015 the town's population was 47,000 people. Which of the following statements IS FALSE? The population in 2015 is about $134.29 \%$ of the population in 2000 . The population changed by about $25.53 \%$ from 2000 to 2015 . The population changed by 12,000 people from 2000 to 2015 . The population in 2015 is about 1.34 times as large as the population in 2000. The population in 2000 is about 0.74 times as large as the population in 2015 .

Step 1 ：Given that the population of the town in 2000 was 35,000 and in 2015 it was 47,000, we need to find out which of the following statements is false.

Step 2 ：First, we calculate the percentage change in population from 2000 to 2015 using the formula: \[\text{Percentage Change} = \frac{\text{Final Value} - \text{Initial Value}}{\text{Initial Value}} \times 100\]

Step 3 ：Substituting the given values into the formula, we get: \[\text{Percentage Change} = \frac{47000 - 35000}{35000} \times 100 = 34.29\%\]

Step 4 ：Next, we calculate the ratio of the population in 2015 to the population in 2000, which is: \[\text{Ratio}_{2015:2000} = \frac{47000}{35000} = 1.34\]

Step 5 ：Similarly, we calculate the ratio of the population in 2000 to the population in 2015, which is: \[\text{Ratio}_{2000:2015} = \frac{35000}{47000} = 0.74\]

Step 6 ：Comparing these calculated values with the given statements, we find that the statement 'The population changed by about 25.53% from 2000 to 2015' is false, as our calculated percentage change is 34.29%.

Step 7 ：\(\boxed{\text{The false statement is 'The population changed by about 25.53% from 2000 to 2015'}}\)