Final answer:
The given statement "A survey of 1,000 people can be effective for measuring the opinions of all Americans." is false, thus the correct option is b.
Step-by-step explanation:
A survey of 1,000 people may not be an effective way to measure the opinions of all Americans. This is because 1,000 people is a relatively small sample size compared to the entire population of the United States, which is approximately 331 million people as of 2021. In order for a survey to accurately represent the opinions of a larger population, it must be a random and representative sample.
A random sample means that every member of the population has an equal chance of being selected to participate in the survey. This helps to eliminate any bias or skew in the results. Additionally, the sample must be representative of the larger population in terms of demographics such as age, gender, race, and income. This ensures that the opinions of all groups within the population are taken into account.
In the case of a survey of 1,000 people, it is highly unlikely that the sample would be random and representative of the entire population. This is because it would be difficult to ensure that every single person in the population has an equal chance of being selected. Additionally, it would be challenging to accurately represent all demographics within such a small sample size.
Furthermore, using a survey of 1,000 people to measure the opinions of all Americans may also lead to inaccurate results due to sampling error. Sampling error refers to the natural variation that occurs when taking a sample from a larger population. The larger the sample size, the smaller the sampling error will be. Therefore, a survey of 1,000 people would have a larger sampling error compared to a survey of, for example, 10,000 people.
In conclusion, a survey of 1,000 people may not be effective for measuring the opinions of all Americans. To accurately represent the opinions of a larger population, a larger and more representative sample size would be needed. Therefore, the given statement is false.