Question

State the Type I and Type II error for that scenario.

State whether their hypothesis is directional or non-directional.

A researcher found that there is an app for your phone that increases your IQ by 10% compared to if you don’t use the app. The researcher decides to test this.

Answer 1

Answer:

For the given scenario, the null and alternative hypotheses are given as below:

Null hypothesis: H₀: An app in phone increases IQ by 10%.

Alternative hypothesis: H_a: An app in phone increases IQ by different than 10%.

So, this is a non-direction hypothesis test.

Type I error is the probability of rejecting null hypothesis when it is true.

For this scenario, the type I error is the probability that rejecting the fact that app increases IQ by 10%, but in fact it actually increases IQ by 1%.

Type II error is the probability of do not rejecting null hypothesis when it is not true.

For this scenario, the type II error is the probability that do not rejecting the fact that app increases IQ by 10%, but in fact is not actually increases IQ by 10%.