A parachutist has made thousands of successful jumps. His assumption is that when he pulls the rip cord, that parachute will open.

What are the null and alternative hypothesis?

Describe a Type I error along with the consequence.

Describe a Type II error along with the consequence.

What is a more serious error in this context? Justify your answer.

Most parachutes have a backup in case the ripcord malfunctions. Does the guard against Type I or Type II errors? Explain.

Suppose you went skydiving and pull the ripcord and it does not function. You have time to pull it again or pull the back up but not both. What would you do?

Respuesta :

The null hypothesis is the one in which any statement which is the claim of the experiment is chosen to decide the results for .

The alternate hypothesis is the opposite of the null hypothesis.

Type I Error:  Type I Error occurs when H0 is true but it is rejected and Ha is accepted.

Type II Error:  Type II Error occurs when Ha is true but it is rejected and the false null hypothesis H0 is accepted which is wrong decision.

In this case the null hypothesis is

H0: On pulling the rip cord the parachute will open.

Ha: On pulling the rip cord the parachute will not open.

In this experiment the alternate hypothesis Ha :On pulling the rip cord the parachute will not open is accepted then type I error occurs.

In this experiment the null hypothesis H0 :On pulling the rip cord the parachute will not open is accepted then type II error occurs.

In this experiment Type I Error is a more serious error because the true null hypothesis H0: the parachute will open is rejected.

In this experiment Type II Error is a more serious error.

Type I and Type II Errors are independent of the confidence interval.

When the parachute has a backup in case of ripcord malfunctions then the confidence level of the hypothesis can be 100 percent. That is we are 100 percent sure that the parachute will land safely and there will be no accidents.

This is does not guard the type I and type II errors because these are made on the wrong decision.

The null and alternate hypotheses can be understood here

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Type I and II Errors can be understood

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