1. **State the problem:** We want to determine if the weight loss program results are statistically significant based on the probability of obtaining the results by random chance.
2. **Given information:**
- Number of subjects: 7
- Average weight loss: 45 lbs
- Probability of results by random chance if diet has no effect: 38% (or 0.38)
3. **Statistical significance rule:**
Typically, results are considered statistically significant if the probability of obtaining them by random chance (p-value) is less than 5% (0.05).
4. **Evaluate the p-value:**
Here, the p-value is 0.38, which is much greater than 0.05.
5. **Interpretation:**
Since $0.38 > 0.05$, the results are likely to occur by chance, so the weight loss program does not have statistical significance.
6. **Answer:**
The correct choice is D: No, the program is not statistically significant because the results are likely to occur by chance.
7. **Practical significance:**
Even if not statistically significant, losing 45 lbs on average may have practical significance for individuals, but this is separate from statistical significance.
**Final conclusion:** The program is not statistically significant based on the given data.
Statistical Significance 057698
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