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A researcher computes an independent sample t-test, and determines that p < .05. What does this...

A researcher computes an independent sample t-test, and determines that p < .05. What does this mean? explanation should be atleast 6 lines.

Math   Statistics-And-Probability   
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Answer : independent sample t test means two sample t test. In that two sample t test compare the two means. We know that the decision rule. That is,

p < 0.05 we reject Ho otherwise accept it.

That means, our p-value is less than level of significance then we reject our null hypothesis and the conclusion will be the mean difference between mean1 and mean2 is significant. That means of mean1 and mean2 is not same or either mean1 is greater than mean2 or mean1 is less than mean2. It would be depends on hypothesis.

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