In estimating the difference between two population means, if a 90% confidence interval includes 0, then we can be 90% certain that the difference between the two population means is 0.

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If the 90% confidence interval includes 0, it means that we cannot reject the null hypothesis that the difference between the two population means is 0 at a significance level of 0.1. It does not necessarily mean that we can be 90% certain that the difference between the population means is 0.

In Estimating the Difference Between Two Population Means, If a 90