Answer:
"0.9739" is the correct answer.
Step-by-step explanation:
The given values are:
The ratio of true to false effects,
= 0.07
The power of study,
= 0.8
Alpha level,
= 0.05
Now,
The percentage of effects proved as significant will be:
= [tex]0.8\times \ 70 \ percentage[/tex]
= [tex]0.56[/tex]
0r,
= [tex]56[/tex]%
The percentage of false effects will be:
= [tex]0.05\times 30 \ percent[/tex]
= [tex]0.015[/tex]
or,
= [tex]1.5[/tex]%
The total effects will be:
= [tex]56+1.5[/tex]
= [tex]57.5[/tex]%
hence,
The probability that this effect is real will be:
= [tex]\frac{56}{57.5}[/tex]
= [tex]0.9739[/tex]
