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Let H0 be the null hypothesis, Ha the alternate hypothesis, mu the population mean and mu-H0…

Paper 1 · Research Aptitude UGC NET June 2024 Re-Exam (02.09.2024) Shift-II
Let H0 be the null hypothesis, Ha the alternate hypothesis, mu the population mean and mu-H0 the hypothesized mean. A researcher sets H0: mu = mu-H0 and Ha: mu < mu-H0. In this situation, the researcher would apply:
ARight-tailed test
BLeft-tailed test ✓ Correct
CTwo-tailed test
DHalf-tailed test
Correct answer: (B) Left-tailed test — A left-tailed test is applied, so that is the answer.
Explanation
A left-tailed test is applied, so that is the answer.
The alternate hypothesis states mu is less than the hypothesized mean.
The rejection region lies in the left tail.
So the test is one-tailed to the left.
This is the left-tailed test.
Hence left-tailed test is correct.

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