“1. The researchers found a significant difference between the two groups (control and treatment) for change in mobility of the women with osteoarthritis (OA) over 12 weeks with the results of F(1, 22) = 9.619, p = 0.005. Discuss each aspect of these results.”
The F-value is high enough at the 5% level of significance to suggest a significant difference between the control and treatment groups. The p-value 0.005 < 0.05 which suggests a rejection of the null hypothesis, meaning ...view middle of the document...
Should the null hypothesis be rejected for the difference between the two groups in change in mobility scores over 12 weeks? Provide a rationale for your answer.”
The null hypothesis is that the mean mobility scores for both groups are the same, since the p-value 0.005 < 0.05 the null hypothesis can be rejected. Therefore the mean difficulty with mobility score for both groups must be different.
“3. The researchers stated that the participants in the intervention group reported a reduction in mobility difficulty at week 12. Was this result statistically significant, and if so at what probability?”
Yes, the result was statistically significant at probability p < 0.001.
“4. If the researchers had set the level of significance or α= 0.01, would the results of p = 0.001 still be statistically significant? Provide a rationale for your answer.”
Yes, the results will still be statistically significant because 0.001 < 0.01
“5. If F(3, 60) = 4.13, p = 0.04, and α = 0.01, is the result statistically significant? Provide a rationale for your answer. Would the null hypothesis be accepted or rejected?”
In this case the result would not be considered statistically significant because 0.04 > 0.01
“6. Can ANOVA be used to test proposed relationships or