Final answer:
Without specific data, we cannot determine the probability of Eva catching a fish over 70 pounds. Fishermen often estimate fish weight rather than providing an exact mass. To compare fish distributions between two lakes, a chi-square test for homogeneity is used.
Step-by-step explanation:
The question asks for the probability that a fish caught by Eva weighs more than 70 pounds. To answer this, we need statistical data about the weights of fish caught in a given area or specific to Eva's experience, which is not provided. Thus, it's impossible to provide a numerical probability. However, when discussing fishing and fish weight, fishermen often do not report the exact mass of their catch. Instead, they may round to a convenient number, as it is considered 'close enough' for casual conversation.
For a statistical comparison like the test for homogeneity described in the question, we use a chi-square test to compare the distributions of fish types caught in Green Valley Lake and Echo Lake. The observed numbers of each type of fish in both lakes are compared to the expected counts, which are based on the hypothesis that the distributions are the same.