It is a population fact that men and women differ in height. You draw a random
sample of men and a random sample of women, measure their heights, and find
that the average height of the men and women do not differ. Given that men’s and
women’s heights really are different in their respective populations, what type
of error occurred in your study- Type 1 or type 2? Explain your answer.
type 1-To reject the null hypothesis when it is true is to make what is known as a type I error . The level at which a result is declared significant is known as the type I error rate, often denoted by α. We try to show that a null hypothesis is unlikely , not its converse (that it is likely), so a difference which is greater than the limits we have set, and which we therefore regard as "significant", makes the null hypothesis unlikely . However, a difference within the limits we have set, and which we therefore regard as "non-significant", does not make the hypothesis likely.