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Which statement is equivalent to a statistically significant independent t-test? Select all that are true. Retain...

Which statement is equivalent to a statistically significant independent t-test? Select all that are true.

Retain the null hypothesis.

The p-value is less than .05.

The 95% confidence interval for the difference of means does not contain 0.

Alpha is greater than .05.

Math   Statistics-And-Probability   
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Answer #1

A p-value less than 0.05 (typically ≤ 0.05) is statistically significant. It indicates strong evidence against the null hypothesis, as there is less than a 5% probability the null is correct (and the results are random). Therefore, we reject the null hypothesis, and accept the alternative hypothesis.

95% confidence interval for the difference of mean does not contain zero. Means it reject the null hypothesis and the then it is statistically significant.

Therefore option 2 and option 3 are correct.

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