Question

a) Testing to see whether taking vitamin supplements each day has significant health benefits. There are no (known) harmful side effects of the supplements.

Making a type I error means                            [ Select ]                       ["Taking only vitamins which labeled FDA approves", "There is no significant health benefits taking vitamin supplements each day, when actually they do have significant health benefits", "Taking vitamin supplements each day has significant health benefits, when actually, they don't have significant health benefits", "People should take any kind of vitamin supplements"]      

Making a type II error means                            [ Select ]                       ["People should take any kind of vitamin supplements", "There is no significant health benefits taking vitamin supplements each day, when actually they do have significant health benefits", "Taking vitamin supplements each day has significant health benefits, when actually, they don't have significant health benefits", "Taking only vitamins which labeled FDA approves"]      

b) Using your statistics class as a sample to see if there is evidence of difference in means for hours watching TV per week between male and female students .

Making type I error means There is no difference in means for hours watching TV per week between male and female students, when actually there is a difference

Making type II error means There is difference in means for hours watching TV per week between male and female students, when actually, there is no difference

Answer 1

a)

Answer:

Making a type I error means "Taking vitamin supplements each day has significant health benefits when actually, they don't have significant health benefits"

Making a type II error means "There is no significant health benefits taking vitamin supplements each day when actually they do have significant health benefits"

Explanation:

Hypothesis

Null Hypothesis: There is no significant health benefits taking vitamin supplements each day.

Alternative Hypothesis: There is a significant health benefit taking vitamin supplements each day.

Type I error

A Type I error is the probability of rejecting the null hypothesis when the null hypothesis is actually TRUE

In this context, if we reject the null hypothesis and conclude that there is a significant health benefit taking vitamin supplements each day but actually they don't have significant health benefits, a type I error exists.

Type II error

A Type II error is the probability of failing to reject the null hypothesis when the null hypothesis is actually FALSE.

In this context, if we failed to reject the null hypothesis and conclude that there is no significant health benefits taking vitamin supplements each day when actually they do have significant health benefits, a type II error exists.

b)

Answer:

Making a type I error means "There is a difference in means for hours watching TV per week between male and female students when actually, there is no difference"

Making a type II error means "There is no difference in means for hours watching TV per week between male and female students when actually there is a difference"

Explanation:

Hypothesis

Null Hypothesis: There is no difference in means for hours watching TV per week between male and female students

Alternative Hypothesis: There is a significant difference in means for hours watching TV per week between male and female students

Type I error

A Type I error is the probability of rejecting the null hypothesis when the null hypothesis is actually TRUE

In this context, if we reject the null hypothesis and conclude that there is a significant difference in means for hours watching TV per week between male and female students but actually there is no difference, a type I error exists.

Type II error

A Type II error is the probability of failing to reject the null hypothesis when the null hypothesis is actually FALSE.

In this context, if we failed to reject the null hypothesis and conclude that there is no difference in means for hours watching TV per week between male and female students when actually there is a difference, a type II error exists.