To test Ho:p=0.55 versus H1:p<0.55, a simple random sample of n=300 individuals

Question

To test Ho:p=0.55 versus H1:p<0.55, a simple random sample of n=300 individuals is obtained and x=156 successes are observed. If the true population proportion is o.52 and the level of significance of a=0.05 is used B=0.7248 and the power of the test is 0.2752. What is the B and power of the test is redone at a=0.01 level of significance. B= Power=

What effect does lowering the level of significance have on the power of the test? A) When the level of significance is lowered, the power of the test decreases. B) When the level of significance is lowered, the power of the test is 0. C) When the level of significance is lowered, the power of the test stays constant D)When the level of significance is lowered, the power of the test increases

Explanation / Answer

What is the B and power of the test is redone at a=0.01 level of significance

B = 0.7248 - ( 0.01) = 0.7148

Power = 1 - 0.7148 = 0.2852

What effect does lowering the level of significance have on the power of the test?

A) When the level of significance is lowered, the power of the test decreases

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