A behavioral psychologist conducts an experiment to determine whether operant conditioning techniques can be used to improve balance in people who consider themselves “clumsy.” She recruits 50 participants, each of whom responds yes to the question “Do you consider yourself clumsy?” on a pre-experimental questionnaire. Half the participants are given a balance task (stand on one foot with your arms in the air) with the time they can balance recorded. They are then excused and asked to return 3 weeks later. The other half of the participants are given 3 weeks of operant training during a balance exercise. In this training, the participants are asked to perform the balance task described above. Each time they can beat their previous balance time, they receive $10. After the 3-week period, all participants are asked to perform the balance task again. Alpha is set at.05. The members of the Training Group can balance for an average of 25 seconds. Members of the Control Group (who did not receive the training) can balance for an average of 24.3 seconds. When the inferential statistical test is conducted on these data, p =.08.
1. What is the IV( independent variable) this study? The DV (dependent variable)?
IV:
DV:
2. What is the alternative hypothesis?
3. What is the null hypothesis?
4. What population is being tested in this study?
5. Is the difference observed in the study statistically significant? Why or why not?
6. Based on your answer to (5) above, what decision should be made about the null hypothesis?
7. In the context of this experiment, what exactly is p the probability of?
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Step-by-Step Guide to Answering the Questions
1. Identify the Independent Variable (IV) and Dependent Variable (DV)
- IV (Independent Variable): Whether the participant receives operant training or not (Training Group vs. Control Group).
- DV (Dependent Variable): Balance time (measured in seconds) when performing the balance task.
2. State the Alternative Hypothesis (H₁)
- The alternative hypothesis states that there is a significant difference in balance time between the Training Group and the Control Group.
- H₁: Operant conditioning training improves balance time compared to no training.
3. State the Null Hypothesis (H₀)
- The null hypothesis states that there is no significant difference in balance time between the two groups.
- H₀: Operant conditioning training does not improve balance time compared to no training.
4. Identify the Population Being Tested
- The population being tested consists of people who consider themselves “clumsy” (as determined by their response to the pre-experimental questionnaire).
5. Determine if the Difference is Statistically Significant
- The study uses an alpha level (α) of 0.05.
- The reported p-value is 0.08.
- Since p > 0.05, the difference between groups is not statistically significant.
6. Decide What to Do About the Null Hypothesis
- Since the p-value (0.08) is greater than the alpha level (0.05), we fail to reject the null hypothesis (H₀).
- This means we do not have enough evidence to conclude that operant conditioning training significantly improves balance time.
7. Interpret the Meaning of p in This Context
- The p-value (0.08) represents the probability of observing the difference in balance time (or a more extreme difference) if the null hypothesis were actually true (i.e., if operant training had no real effect on balance).
- A p-value of 0.08 means there is an 8% chance that the observed difference occurred due to random variation rather than a true effect of the training.
Final Summary of Key Findings
- The study does not find strong enough evidence to conclude that operant conditioning training significantly improves balance.
- The null hypothesis is not rejected because the p-value (0.08) is greater than 0.05.
- Further research with a larger sample size or different reinforcement strategies may be needed to determine whether operant conditioning effectively improves balance in self-identified clumsy individuals.
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