uppose that the return on equity (ROE, in %) of South African companies are distributed as ROE~N (22.3,51.84). The sample mean return on equity of a random sample of 80 South African companies was found to be 25.6%.   a. Use the p-value approach to test the hypothesis H0:u=24 at the 1% level. (Note: In answering this question, make sure you state the following: null and alternative hypotheses, test statistic and critical value).  b. Find the power of the hypothesis test H0:u<=24, at the 1% significance level.

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Suppose that the return on equity (ROE, in %) of South African companies are distributed as
ROE~N (22.3,51.84). The sample mean return on equity of a random sample of 80 South African companies was found to be 25.6%.

 
a. Use the p-value approach to test the hypothesis H0:u=24 at the 1% level. (Note: In answering this question, make sure you state the following: null and alternative hypotheses, test statistic and critical value). 
b. Find the power of the hypothesis test H0:u<=24, at the 1% significance level. 

 

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