Question

e hypothesis are as follows:H0:m0:5vs.H1:m>0:5. Suppose that the null hypothesis is not rejected and that thereal truth is that the shampoo actually does make hair grow faster. What type of error, if any,occurred

Answer 1

The null hypothesis is not rejected and hence Type II error occurred

Explanation:

Here

The null hypothesis is as follows

H0 = Mean = 0.5

The alternate hypothesis is as follows -

H1 = Mean >0.5

For Type I error = The Null hypothesis is rejected if null hypothesis is actually true

Type II error =The Null hypothesis is not rejected when the null hypothesis is not true but is false.

Here, the null hypothesis is not rejected and hence Type II error occurred