Question
.A survey is being given to evaluate the use of applications on smartphones in Denver. Given the population of all Denver residents, determine whether each statement describes a random sample or not. Select one option for each statement.
Random Sample
Not a Random Sample
Randomly select residents in the southern region of Denver.
Randomly select residents from all Denver addresses.
Randomly select Denver residents whose last name is longer than 5 letters.
Select all Denver residents who purchased a smartphone within the last year.
Randomly select residents from all Colorado addresses.
Random Sample
Not a Random Sample
Randomly select residents in the southern region of Denver.
Randomly select residents from all Denver addresses.
Randomly select Denver residents whose last name is longer than 5 letters.
Select all Denver residents who purchased a smartphone within the last year.
Randomly select residents from all Colorado addresses.
Answers
GPT-4o mini
Here are the evaluations of the statements regarding whether they describe a random sample or not:
1. **Randomly select residents in the southern region of Denver.**
- **Not a Random Sample** (This is a biased sample as it only includes residents from the southern region and not all areas of Denver.)
2. **Randomly select residents from all Denver addresses.**
- **Random Sample** (This method includes all residents of Denver, ensuring randomness.)
3. **Randomly select Denver residents whose last name is longer than 5 letters.**
- **Not a Random Sample** (This criterion excludes a significant portion of the population and introduces bias, making it not random.)
4. **Select all Denver residents who purchased a smartphone within the last year.**
- **Not a Random Sample** (This sample is biased toward residents who are smartphone users, leaving out those who do not have smartphones.)
5. **Randomly select residents from all Colorado addresses.**
- **Not a Random Sample** (This does not focus on just Denver residents but includes individuals from all over Colorado, which is not representative of the specific population in question.)
In summary:
- Randomly select residents in the southern region of Denver: **Not a Random Sample**
- Randomly select residents from all Denver addresses: **Random Sample**
- Randomly select Denver residents whose last name is longer than 5 letters: **Not a Random Sample**
- Select all Denver residents who purchased a smartphone within the last year: **Not a Random Sample**
- Randomly select residents from all Colorado addresses: **Not a Random Sample**
1. **Randomly select residents in the southern region of Denver.**
- **Not a Random Sample** (This is a biased sample as it only includes residents from the southern region and not all areas of Denver.)
2. **Randomly select residents from all Denver addresses.**
- **Random Sample** (This method includes all residents of Denver, ensuring randomness.)
3. **Randomly select Denver residents whose last name is longer than 5 letters.**
- **Not a Random Sample** (This criterion excludes a significant portion of the population and introduces bias, making it not random.)
4. **Select all Denver residents who purchased a smartphone within the last year.**
- **Not a Random Sample** (This sample is biased toward residents who are smartphone users, leaving out those who do not have smartphones.)
5. **Randomly select residents from all Colorado addresses.**
- **Not a Random Sample** (This does not focus on just Denver residents but includes individuals from all over Colorado, which is not representative of the specific population in question.)
In summary:
- Randomly select residents in the southern region of Denver: **Not a Random Sample**
- Randomly select residents from all Denver addresses: **Random Sample**
- Randomly select Denver residents whose last name is longer than 5 letters: **Not a Random Sample**
- Select all Denver residents who purchased a smartphone within the last year: **Not a Random Sample**
- Randomly select residents from all Colorado addresses: **Not a Random Sample**