An advertisement of Royal Rat Rations states:"7 out of 8 veterinarians recommend Royal rat rations for your fancy rat." No other information about the data is provided by the company?
Based on the data , which of the following inferences is most valid?

Options

A. Royal Rat Rations provides the best nutrition for fancy rats
B. If you do not feed your rat Royal Rat Rations, your rat will be unhealthy.
C. only one veterinarina does not recommend Royal Rat Rations for your fancy rat.
D. Of the veterinarians surveyed by Royal Rat Rations, the majority recommend Royal Rat Rations for your fancy rat.

Answer

To analyze the advertisement stating that "7 out of 8 veterinarians recommend Royal Rat Rations for your fancy rat," we need to evaluate the implications of this statement and the options provided.

### Step-by-Step Solution:

1. **Understanding the Statement**: The advertisement claims that 7 out of 8 veterinarians recommend Royal Rat Rations. This means that a significant majority (87.5%) of the surveyed veterinarians endorse this product.

**Hint**: Focus on the ratio given in the advertisement to understand the level of support for the product.

2. **Evaluating the Options**:
- **Option A**: "Royal Rat Rations provides the best nutrition for fancy rats."
- This cannot be concluded from the advertisement as it does not mention anything about the nutritional value of the product.

**Hint**: Look for direct statements in the advertisement that support the claims made in the options.

- **Option B**: "If you do not feed your rat Royal Rat Rations, it will be unhealthy."
- This is also not supported by the advertisement. It does not state that other rations are unhealthy or that Royal Rat Rations is the only option for health.

**Hint**: Consider whether the advertisement implies exclusivity or necessity regarding the product.

- **Option C**: "Only one veterinarian does not recommend Royal Rat Rations."
- This is misleading. While it is true that 1 out of 8 does not recommend it, the statement could imply that there are more veterinarians who might not recommend it, which is not addressed in the advertisement.

**Hint**: Be cautious about how the wording can change the meaning of the statement.

- **Option D**: "Of the veterinarians surveyed by Royal Rat Rations, the majority recommend Royal Rat Rations for your fancy rat."
- This is a valid conclusion. It accurately reflects the data provided in the advertisement, indicating that the majority (7 out of 8) do recommend the product.

**Hint**: Check if the conclusion logically follows from the information given.

3. **Conclusion**: Based on the analysis, the most valid inference from the advertisement is **Option D**. It correctly summarizes the recommendation of the majority of veterinarians surveyed.

### Final Answer:
The most valid inference based on the advertisement is: **Option D - Of the veterinarians surveyed by Royal Rat Rations, the majority recommend Royal Rat Rations for your fancy rat.**