Consider the following. At most 60% of Americans vote in presidential elections.
ID: 3255105 • Letter: C
Question
Consider the following.
At most 60% of Americans vote in presidential elections.
State the Type I and Type II errors in complete sentences.
Type I error: We believe that at most 60% of Americans vote in presidential elections when it is really more than 60%.
Type II error: We believe that more than 60% of Americans vote in presidential elections when it is really at most 60%. Type I error: We believe that more than 60% of Americans vote in presidential elections when it is really at most 60%.
Type II error: We believe that at most 60% of Americans vote in presidential elections when it is really more than 60%. Type I error: We believe that less than 60% of Americans vote in presidential elections when it really equals 60%.
Type II error: We believe that 60% of Americans vote in presidential elections when it is really less than 60%. Type I error: We believe that 60% of Americans vote in presidential elections when it is really less than 60%.
Type II error: We believe that less than 60% of Americans vote in presidential elections when it really equals 60%.
Explanation / Answer
Here H0: p <= 0.60
Ha : p > 0.60
Type I error rejecting the null hypothesis when it is true.
so Type I error is We believe that more than 60% of Americans vote in presidential elections when it is really at most 60%.
Type II error is accepting the null hypothesis when it is false.
so Type II error is we believe that at most 60% of Americans vote in presidential elections when it is really more than 60%.