The two-tailed test is more conservative than the one-tailed test.If a hypothesis is rejected using a two-tailed test, it will also be rejected using a one-tailed test.

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This statement is true. The two-tailed test is more conservative because it considers both the possibilities of the hypothesis being true in either direction. If the hypothesis is rejected using a two-tailed test, it means that the observed results are either too extreme on the positive or negative side. Therefore, if we use a one-tailed test in the same direction as the rejected hypothesis, the result will also be rejected since it only considers one possibility.

The Two-Tailed Test Is More Conservative Than the One-Tailed Test