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If sample data is such that for a o significance? Explain your answer. test of y

ID: 3319197 • Letter: I

Question

If sample data is such that for a o significance? Explain your answer. test of you can reject Ho at the 1% level of significance, can you always reject MO for a two-tailed test at the same level of No. If H0 for a one-tailed test is rejected at the 1% level of significance, it will never be rjected for a two-tailed test at the same lovel of significance. O No. The P-value for the two-tailed test could be greater than 0.01. O Yes. Ir Mo for a one-tailed test is rejected at the 1 % level of significance, it will always be rejected for a two-tailed test at the same level of significance. O Yes. The P.value for the two-tailed test could be greater than 0.01

Explanation / Answer

For a two tailed test, the p-value here is computed as twice the p-value for the one tailed test with the same sample parameters. If we are given that the one tailed p-value is less than 0.01 for a 1% level of significance, then it is not necessary that the p-value for the two tailed test would also be less than 0.01.

For example if the p-value for a one tailed test is 0.006 < 0.01, but 2*0.006 = 0.012 > 0.01, therefore the test wont be significant at two tailed test.

Therefore the p-value for a two tailed test could be greater than 0.01.

Therefore b) is the correct answer here.

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