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True. The null hypothesis for the sign test always states that the mean difference between the matched or paired samples is zero.
- Therefore, the null hypothesis always states that the mean difference between the matched or paired samples is zero.
Sign Test for Comparing Two Matched Samples
The sign test is used to compare two related or matched samples to determine if they are significantly different from one another. It is based on the idea that the difference between two related samples should be zero. The null hypothesis of the sign test states that the mean difference between the two matched or paired samples is zero, meaning that there is no difference between the two samples.
The alternative hypothesis is that the mean difference between the two samples is not zero, indicating that there is a significant difference between the two samples. The sign test is used to determine if the two samples are significantly different from one another.
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