In: Statistics and Probability
SpaceXis going to launch a manned shuttle to mars. Before takeoff, they have to determine if all systems are clear for launch.
Ho:
Ha:
A type one error in this case would be :
A type 2 error in this case would be :
For the given scenario, the null and alternative hypotheses are given as below:
Null hypothesis: H0: All systems of the Space X are clear for launch.
Alternative hypothesis: Ha: All systems of the Space X are not clear for launch.
A type one error in this case would be : We conclude that all systems of the Space X are not clear for launch, but in fact all systems are clear for launch.
A type 2 error in this case would be :We conclude that all systems of the Space X are clear for launch, but in fact all systems of the Space X are not clear for launch.
[We know that the type I error occurred when we reject the null hypothesis when it is true and type II error occurred when we do not reject the null hypothesis when it is not true.]