Question

1. Between 2006 and 2009, Betty appeared in 23 episodes of The Bold and The Beautiful. The work was quite different from her time on sitcoms. This led her to think about the following hypotheses:

H₀: Soap opera acting is the same difficulty as sitcom acting

H_a: Soap opera acting is harder than sitcom acting

Describe what a Type I error would look like in the context of this scenario.

Answer 1

SOLUTION

For solving the problem first we need a general awareness about the Type I error and Type II error.

Type I error : It is an error occured when the rejection of null hypothesis when it is true. That is the null hypothesis is actually true but we reject it. Or we can say that error occured when we accept the alternative hypothesis when the null hypothesis is true. This kind of error is called Type I error.

Type II error : This type of error occured when we fail to reject the false null hypothesis as the result of a test procedure. That is the error when we accept a null hypothesis but the alternative hypothesis is true.

Now let us consider the given problem. The hypothesis are

H₀: Soap opera acting is the same difficulty as sitcom acting

H_a: Soap opera acting is harder than sitcom acting

Now let us compare the above definition with this scenerio. Type I error is occured when the rejection of true null hypothesis. So in this scenerio Type I error occurs when rejecting H₀ When it is true. That is we accept that Soap opera acting is harder than sitcom acting but the acting is the same difficulty as sitcom acting. In other words we reject that Soap opera acting is the same difficulty as sitcom acting when it is correct.