Question

In: Statistics and Probability

SpaceXis going to launch a manned shuttle to mars. Before takeoff, they have to determine if...

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 :

Solutions

Expert Solution

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.]


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