Instead of power posing in horses, you are interested in whether music can induce a mere exposure effect at short timescales. You read a paper that claims that it can, reporting a significant mere exposure effect. Alpha level was 0.05, the ratio of true to false effects in this field is 0.7 and the power of this study was 0.8. The probability that this effect is real is

"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:

=

=

0r,

= %

The percentage of false effects will be:

=

=

or,

= %

The total effects will be:

=

= %

hence,

The probability that this effect is real will be:

=

=

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b