There are alternative uses of probability. For example, you might measure the weight of 50 people eating one of two diets, and determine an average weight for

There are alternative uses of probability. For example, you might measure the weight of 50 people eating one of two diets, and determine an average weight for each group. You want to know if the different diets affect weight. It is highly unlikely that the average weight will be exactly identical for each group, so now you use statistical methods to determine the probability that the diet caused the observed difference in weight. You now assign a "probability" to the hypothesis that diet influenced weight -- is that probability objective?