We would like to test whether the population mean is less th

We would like to test whether the population mean is less than 40. Suppose that a hypothesis test is conducted to determine if the mean of the population has decreased or not. Describe what a Type II error would mean for this example.

Solution

H0 : p >40

H1 : p < 40

type II error signifies that failure to reject H0 when H1 is true

so this states that though P< 40 we claim that P>40 that is fail to reject H0