Question

The ______________ hypothesis determines the region of the sampling distribution that is used in the hypothesis...

The ______________ hypothesis determines the region of the sampling distribution that is used in the hypothesis test. If this hypothesis states that the mean is less than a value, then we should use a _________-tailed test. If this hypothesis states that the mean is greater than a value, then we should use a __________-tailed test. If this hypothesis states that the mean is not equal to a value, then we should use a __________-tailed test. In a statistical test, if the p-value is not more than the probability of a Type I error, then we should ________________ the null hypothesis; if the p-value is greater than the probability of a Type I error, then we should _________________ the null hypothesis.

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Answer #1

From the given information above,

The Alternative hypothesis determines the region of the sampling distribution that is used in the hypothesis test. If this hypothesis states that the mean is less than a value, then we should use a Left tailed test. If this hypothesis states that the mean is greater than a value, then we should use a Right-tailed test. If this hypothesis states that the mean is not equal to a value, then we should use a Two-tailed test. In a statistical test, if the p-value is not more than the probability of a Type I error, then we should Reject the null hypothesis; if the p-value is greater than the probability of a Type I error, then we should Fail to reject the null hypothesis

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