Question

decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false) explain your reasoning by choosing my sample carefully i can make a good estimate of the average height of americans by measuring the heights of only 500 people choose the correct answer below a. the statement makes sense because 500 is a large enough sample size that it will reduce or completely eliminate any effects of bias introduced by the sampling method b. the statement makes sense because carefully choosing a sample is likely to result in a sample that closely resembles the population c. the statement does not make sense because a sample size should not be small (500) when the population is so large (there are hundreds of millions of americans) d. the statement does not make sense because a sample must be chosen randomly to result in a sample that closely resembles the population

Explanation:

A sample must be chosen randomly to avoid bias and ensure it closely resembles the population. Just choosing a sample carefully (without randomness) can still introduce selection bias. For example, if you choose people from a specific area or a specific group (not randomly), the sample may not represent all Americans. Random sampling helps in getting a representative sample.

Answer:

D. The statement does not make sense because a sample must be chosen randomly to result in a sample that closely resembles the population.