In: Statistics and Probability
A study is conducted comparing income levels and diabetes. The RR of having brain cancer between those who fall under and above the poverty line is 2.6. If these results are statistically significant at an a=.05,
The 95% CI will NOT contain what value?
Would the p-value for this RR be greater than or less than .05?
Solution:
Here, we are given a relative risk or risk ratio of having brain cancer between those who fall under and above the poverty line as 2.6. A relative risk of 2.6 means a 160% higher risk of having brain cancer than the average.
RR = 2.6
Results are statistically significant at ? = 0.05.
The 95% confidence interval for the given relative risk of 2.6 will not contains the values for which we are not 95% confident that the relative risk of having brain cancer between those who fall under and above the poverty line will be between two specific values. (Here, we cannot describe these two specific values because values for outcomes for exposed group and non-exposed groups are not given.)
We know that the results are statistically significant when the p-value is less than the given level of significance. That is, we reject the null hypothesis when p-value is less than alpha value. So, the p-value for this RR is less than alpha value 0.05.