If other factors ar held constant which combination is most

If other factors ar held constant, which combination is most likely to result in rejecting the null hypothesis?

A. A large sample size and a large population standard deciation

B. A large sample size and a small population standard deviation

C. A small smaple size and a large population standard deviation

D. A small sample size and a small pupulation standard deviation

Solution

B. A large sample size and a small population standard deviation

Formula used in test statistic = Test Statistic (Z) = x-U/(s.d/Sqrt(n))

Sample size is inversly proportion, s.d is direcet propotional to statistic. Larger the sample size begger the value of test statistic.smaller the population standard deviation begger the test statistic