In an experiment with N = 14 and P _real = 0.10, what is the power using a = .01_{2 tail}? A) 0.0500 B) 1.0000 C) 0.5847 D) 0.9868

Question

Quizplus · Accepted Answer

To calculate power, we first need to find the critical value. Using a one-tailed test with α = 0.01 and degrees of freedom = 13, the critical value is 2.603. Next, we can use the formula for power: 
Power = P(Z > critical value – (sqrt(n) * difference in means) / standard error) 
Plugging in the values: 
Power = P(Z > 2.603 – (sqrt(14) * 0.10) / (sqrt((1-0.10)*0.10/14))) 
Power = P(Z > 1.3123) 
Using a standard normal table, we can find the probability of Z being greater than 1.3123 is 0.0916. Therefore, the power is 0.0916 or 9.16%. Choice C is the closest answer at 0.5847, which could be a rounding error.

In an Experiment with N = 14 and P real

In an Experiment with N = 14 and P _real