Consider a test for mu. If the P value is such that you can reject H_0 for a = 0

Question

Consider a test for mu. If the P value is such that you can reject H_0 for a = 01, can you always reject H_0 for a = .05? Explain your answer. No. If the P-value lies above 0.05 you would reject at the 1 % level of significance and at the 5% level. Yes. If the P-value lies below 0.01 you would reject at the 1 % level of significance, but not at the 5% level. Yes. If H_0 is rejected at the 1 % level it will always be rejected at the 5% level. No. If the P-value lies below 0.01 you would reject at the 1 % level of significance, but not at the 5% level.

Explanation / Answer

ANSWER C

IF HO IS REJECTED AT 1% LEVEL IT WILL ALWAYS BE REJECTED AT 5% LEVEL

AS THE REJECTION REGION FOR 1%LEVEL IS CONTAINED IN OR IS A SUBSET OF REJECTION REGION OF 5% LEVEL . SO IF A PARTICULAR HYPOTHESIS IS IN THE REJECTION FOR 1% LEVEL THAT SURELY IT WILL BE IN THE 5% REJECTION REGION

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