A binomial model shows that two outcomes have the same probability of occurring. In an experiment with 60 trials to test this model, the researcher found that Outcome A occurred 36 times. How did the experimental outcome compare to the theoretical model?
The result for Outcome A was 6 more than expected.
Outcome B occurred 36% of the time rather than the expected 50%.
Outcome A had an expected probability of 50% but an actual probability of 36%.
The result for Outcome B was 4 less than expected.
Well, yes, I expected 30/60 and got 36/60
B happened 60-36 = 24 times. 24/60 = 0.40 or 40% not 36%
The outcome changed, not the probability.
24 is 6 less than expected, not 4
answer is A, just took the test
The correct answer is:
Outcome A had an expected probability of 50% but an actual probability of 36%.
To understand how this conclusion was reached, let's break it down step by step:
1. We are given that the binomial model predicts two outcomes with the same probability of occurring. This means that each outcome has an expected probability of 50% (50% for Outcome A and 50% for Outcome B).
2. The researcher conducted an experiment with 60 trials and found that Outcome A occurred 36 times. To determine if the experimental outcome matches the theoretical model, we compare the actual outcome to the expected outcome.
3. The expected outcome for Outcome A can be calculated by multiplying the total number of trials (60) by the expected probability (50% or 0.5):
Expected Outcome A = 60 * 0.5 = 30
4. The researcher observed Outcome A occurring 36 times, which is greater than the expected outcome of 30. Therefore, the experimental outcome for Outcome A is 6 more than expected.
So, the statement "The result for Outcome A was 6 more than expected" accurately describes how the experimental outcome compares to the theoretical model.