Respuesta :
Answer:
Type I error: Concluded that p ≠ 11% when it is 11%.
Type II error: Concluded that p = 11% when it is not 11%.
Step-by-step explanation:
A type I error is the rejection of the null hypothesis (H₀) when indeed the null hypothesis is true. It is symbolized by α.
A type II error is failing to discard the null hypothesis when indeed the null hypothesis is false. It is symbolized by β.
In this case a principal of a school claims that the percentage of students at his school that come from single-parent homes is 11%.
The hypothesis to test this claim is:
H₀: The proportion of students at the school that come from single-parent homes is 11%, i.e. p = 0.11.
Hₐ: The proportion of students at the school that come from single-parent homes is not 11%, i.e. p ≠ 0.11.
- The type I error will be committed when it is concluded that the proportion of students at the school that come from single-parent homes is not 11% when in fact it is 11%.
- The type II error will be committed when it is concluded that the proportion of students at the school that come from single-parent homes is 11% when it is not.
