To determine whether the weight loss program has statistical significance, we examine the given probability that the results could occur by chance.
Step-by-Step Solution:
1. Identify the Probability of Occurrence by Chance:
The probability provided is 33% (or 0.33). This represents the likelihood of obtaining the results (an average weight loss of 47 lbs by 5 subjects) if the diet program had no effect at all.
2. Understand Statistical Significance:
In statistical analysis, results are generally considered statistically significant if the probability of obtaining such results by chance is very low. A common threshold for statistical significance is a probability less than 5% (or 0.05).
3. Compare the Given Probability with the Statistical Significance Threshold:
Here, the chance of obtaining these results (47 lbs weight loss) by chance is 33%, which is much higher than the 5% threshold.
4. Conclusion on Statistical Significance:
Since the probability (33%) exceeds the 5% threshold, the results are likely to occur by chance. Therefore, the weight loss program is not statistically significant.
Therefore, the correct answer is:
OA. No, the program is not statistically significant because the results are likely to occur by chance.
