The error with the greater consequence would be the Type I error since couples would use the It’s a Boy Genetic Labs product in hopes of increasing the chances of having a boy. The probability of this error occurring is denoted by the Greek letter beta, β. In context, we would state that It’s a Boy Genetic Labs does not influence the gender outcome of a pregnancy when, in fact, it does. Type II error: This error results when we fail to reject a false null hypothesis. The probability of this error occurring is denoted by the Greek letter alpha, α. In the context of this scenario, we would state that we believe that It’s a Boy Genetic Labs influences the gender outcome, when in fact it has no effect.
Type I error: This error results when a true null hypothesis is rejected. Suppose that the null hypothesis, H 0, is: It’s a Boy Genetic Labs has no effect on gender outcome. It’s a Boy Genetic Labs, a genetics company, claims to be able to increase the likelihood that a pregnancy will result in a boy being born. The following are examples of Type I and Type II errors. Increasing the sample size can increase the Power of the Test. Ideally, we want a high power that is as close to one as possible. Α and β should be as small as possible because they are probabilities of errors. Β = probability of a Type II error = P(Type II error) = probability of not rejecting the null hypothesis when the null hypothesis is false. Α = probability of a Type I error = P(Type I error) = probability of rejecting the null hypothesis when the null hypothesis is true.
The Greek letters α and β represent the probabilities. The decision is to reject H 0 when H 0 is false (correct decision whose probability is called the Power of the Test).Įach of the errors occurs with a particular probability.The decision is not to reject H 0 when, in fact, H 0 is false (incorrect decision known as a Type II error).The decision is to reject H 0 when, in fact, H 0 is true (incorrect decision known as a Type I error).The decision is not to reject H 0 when H 0 is true (correct decision).The four possible outcomes in the table are as follows:
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