If we reject the null hypothesis does this mean that we have

If we reject the null hypothesis, does this mean that we have proved it to be false beyond all doubt? Explain your answer.

Yes, the test was conducted with a risk of a type I error.

No, the test was conducted with a risk of a type I error.    

Yes, if we reject the null that suggests that it is false beyond all doubt.

No, the test was conducted with a risk of a type II error.

Solution

type I error : We reject the null hypothesis when it is true.

Answer: Yes, the test was conducted with a risk of a type I error.