You suspect your computer has been infected by a virus. This is of some concern

Question

You suspect your computer has been infected by a virus. This is of some concern to you, because all of your school work (including your statistics homework) is saved there, and may now be subject to deletion by this virus. You would like to take it to the computer repair shop to have it looked at, but the repair shop charges for diagnostic work, meaning that you could be stuck paying them money even if your computer does not have a virus.

a- What are the null and alternative hypotheses for this situation?

b- What is the Type I error in this situation? What is the consequence of making a Type I error?

c- What is the Type II error in this situation? What is the consequence of making a Type II error?

d- You must evaluate the seriousness of the two types of error. Explain which type you think is more serious

Explanation / Answer

Answer:

you suspect your computer has been infected by a virus. This is of some concern to you, because all of your school work (including your statistics homework) is saved there, and may now be subject to deletion by this virus. You would like to take it to the computer repair shop to have it looked at, but the repair shop charges for diagnostic work, meaning that you could be stuck paying them money even if your computer does not have a virus.

a- What are the null and alternative hypotheses for this situation?

Null hypothesis: There is no virus in the computer

Alternative hypothesis: There is virus in the computer

b- What is the Type I error in this situation? What is the consequence of making a Type I error?

   Type I error : Actually there is no virus and you conclude that there is virus

You are paying them money for no virus.

c- What is the Type II error in this situation? What is the consequence of making a Type II error?

Type II error : Actually there is virus and you conclude that there is no virus

You are to loose all of your school work saved in computer.

d- You must evaluate the seriousness of the two types of error. Explain which type you think is more serious

Comparing loosing some money to loss of the data, Type II error is more serious.

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