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066 State the Type I and Type II errors in complete sentences given the followin

ID: 3075184 • Letter: 0

Question

066 State the Type I and Type II errors in complete sentences given the following statements. Part (a) The mean number of years Americans work before retiring is 34 Type I error We conclude that the mean is not 34 years, when it really is 34 years ® We conclude that the mean is 34 years when it really is 34 years We conclude that the mean is not 34 years, when it really is not 34 years We conclude that the mean is 34 years, when it really is not 34 years Type ll error We conclude that the mean is not 34 years, when it really is 34 years We conclude that the mean is 34 years when it realy is 34 years. We conclude that the mean is not 34 years. when it really is not 34 years We conclude that the mean is 34 years, when it really is not 34 years Part (b) Al most 60% of Americans vote in presidenta; elections Type t error

Explanation / Answer

Type I error is the rejection of a true null hypothesis or false positive. Type II error is failing to reject a false null hypothesis or false negative.

(a). Type I error : We conclude that the mean is not 34 years, when it really is 34 years.

Type II error : We conclude that the mean is 34 years, when it really is not 34 years.

(b). Type I error : We conclude that more than 60% of Americans vote in presidential elections, when the actual percentage is at most 60%.

Type II error : We conclude that at most 60% of Americans vote in presidential elections when, in fact, more than 60% do.

(c). Type I error : We conclude that the mean starting salary is less than $100,000, when it really is at least $100,000.

Type II error : We conclude that the mean starting salary is at least $100,000 when, in fact, it is less than $100,000.

(d). Type I error : We conclude that the proportion of high school seniors who get drunk each month is not 29%, when it really is 29%.

Type II error : We conclude that the proportion of high school seniors who get drunk each month is 29% when, in fact, it is not 29%.