If a 98% confidence interval for the difference in the two population means does not contain zero,then the null hypothesis of zero difference between the two population means cannot be rejected at a 0.02 level of significance.

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A 98% confidence interval means that there is only a 2% chance that the true difference in population means lies outside the interval. If the interval does not contain zero, it means that we can be 98% confident that the true difference is different from zero. Therefore, we can reject the null hypothesis of zero difference at a 0.02 level of significance.

If a 98% Confidence Interval for the Difference in the Two