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What are we stating if we reject the null hypothesis is an independent samples t-test?

What are we stating if we reject the null hypothesis is an independent samples t-test?

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If we reject the null hypothesis of an independent samples t test for the difference between two population means, this means, there is not sufficient evidence to conclude that two population means are same. Alternatively we cannot conclude that there is no significant difference between the two population means. This means, we conclude that there is significant difference between the two population means.

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