What is the 95% confidence interval?

Question

BlackTom AI · Accepted Answer

When assessing a 95% confidence interval question, we compare the given interval options to the computed or reported interval for the parameter estimate. 
Option A: (−1.79, -0.70). This interval ends at -0.70 and starts at -1.79, but it excludes any positive values. If the point estimate or the standard error suggested a positive upper bound (as many confidence intervals do when the estimate is near zero or positive), this would not align with common results. It is therefore inconsistent with a typical 95% CI that spans across negative to positive values when the estimate is near zero. 
Option B: (−1.79, 0.70). This interval crosses zero, spanning from negative to positive. This shape is characteristic of a two-sided 95% CI for many parameter estimates, especially when the estimated effect could plausibly be either negative or positive within the margin of error. It includes zero, which is plausible if the effect is not statistically different from zero at the 5% level. 
Option C: (0.70, 1.79). This interval lies entirely in the positive range and does not include negative values. If the point estimate were near zero or negative, or if the standard error were large enough to dip into negative territory, this would be unlikely. In many standard outputs, such a strictly positive interval would imply a consistently positive effect with no chance of negative values, which may not match the provided estimate. 
Option D: (−0.70, 1.79). This interval is asymmetric, starting at −0.70 but ending quite far at 1.79. Depending on the data, an asymmetry could occur, but typical 95% CIs are centered around the point estimate. If the central estimate were near zero or slightly negative, the upper bound around 1.79 with a lower bound only −0.70 could be plausible but would require the point estimate to be near the middle of these bounds. Without that context, this option is less standard than the symmetric-looking crossing-zero interval. 
In summary, among the presented options, the interval that best reflects a standard two-sided 95% CI for many estimated effects—spanning negative to positive and including zero—is the one that crosses zero. The other intervals either exclude zero, are strictly positive or strictly negative, or exhibit an unusual asymmetric range without additional context.

FA25_QTM_100_3 7.22: High school and beyond, Part II. - Requires Respondus LockDown Browser

What is the 95% confidence interval?

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