Two social workers conducted an experiment with a group of their patients. The study asked the patients a yes or no question. For the experiment to be considered a binomial model, what must be present?
Select all that apply.
The patients were asked different questions.
The study was conducted in multiple places.
The number of trials are fixed.
The patients could also answer maybe.
Each trial is independent but uses identical conditions.
The doctors added another bonus trial.
I would post answers, but im a year late, sry bout that
To determine whether or not an experiment follows a binomial model, the following conditions must be present:
1. The number of trials is fixed: In this case, if the doctors conducted a set number of trials with each patient, then this condition is present.
2. Each trial is independent: This means that the outcome of one trial does not affect the outcome of another trial. If each patient was asked the question separately and their responses did not influence each other, then this condition holds.
3. Each trial has two possible outcomes (success or failure): In this study, if the question asked had only two possible answers (yes or no), then this condition is met.
4. The probability of success (p) is the same for each trial: If the patients had an equal chance of answering yes or no for each question asked, then this condition is present.
Based on the given information, we can conclude that the conditions for a binomial model are met if the following options are selected:
- The number of trials are fixed.
- Each trial is independent but uses identical conditions.
Therefore, select the following options:
- The number of trials are fixed.
- Each trial is independent but uses identical conditions.