Artificial intelligent assistant

Determining significance based on confidence interval Given is the task to determine which odds-ratios are statistically significant for the following data: Family affluence Boys (n = 625) * High: Reference * Medium, Odds-ratio: 0.53, 95% Confidence-Interval: 0.39,0.74 * Low, Odds-ratio: 0.89, 95% Confidence-Interval: 0.55,1.44 Girls (n = 690) * High: Reference * Medium, Odds-ratio: 0.77, 95% Confidence-Interval: 0.46, 1.27 * Low, Odds-ratio: 0.91, 95% Confidence-Interval: 0.52, 1.60 Apparently, significant is only "Medium, Odds-ratio: 0.53, 95% Confidence-Interval: 0.39,0.74" - why is that however? All Odds-ratio values seem to lie within the confidence-interval? Hints very appreciated

I think you misunderstand the meaning of the CI of the OR. The point estimate **always** lies inside the CI. What determines whether the CI points to a significant result is if the CI contains the value $1$. If it does not, then the OR is statistically significant at level $\alpha$. The only CI for which this is true is the one you pointed out. All the others contain $1$, thus they do not meet the criterion for statistical significance. It is that simple.

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