Question

A lengthy investigation is conducted to determine whether a foreign government sabotaged a nation's political process. The hypotheses for this test can be written as

Ho: The foreign government sabotaged the nation's political process

Ha: The foreign government did not sabotage the nation's political process

What are the consequences of committing a Type I error?

A. The investigation wrongly concludes the foreign government sabotaged the nation's political process, when they in fact did not. This could lead to strained diplomatic relations and potentially war and death.

B. The investigation wrongly concludes the foreign government did not sabotage the nation's political process, when they in fact did. They would have wasted a large amount of time investigating to conclude nothing, and the perpetrators would go unpunished.

C. The investigation wrongly concludes the foreign government sabotaged the nation's political process, when they in fact did not. They would have wasted a large amount of time investigating to conclude nothing, and the perpetrators would go unpunished.

D. The investigation wrongly concludes the foreign government did not sabotage the nation's political process, when they in fact did. This could lead to strained diplomatic relations and potentially war and death.

What are the consequences of committing a Type II error?                           [选择]                       ["B", "A", "C", "D"]      

A. The investigation wrongly concludes the foreign government did not sabotage the nation's political process, when they in fact did. They would have wasted a large amount of time investigating to conclude nothing, and the perpetrators would go unpunished.

B. The investigation wrongly concludes the foreign government sabotaged the nation's political process, when they in fact did not. This could lead to strained diplomatic relations and potentially war and death.

C. The investigation wrongly concludes the foreign government sabotaged the nation's political process, when they in fact did not. They would have wasted a large amount of time investigating to conclude nothing, and the perpetrators would go unpunished.

D. The investigation wrongly concludes the foreign government did not sabotage the nation's political process, when they in fact did. This could lead to strained diplomatic relations and potentially war and death.

Which type of error is worse? ["Type I error", "Both are equally bad", "Type II error"]      

What significance level should be used for this test?

Answer 1

Type 1 error

Type 1 error is the rejection of the true null hypothesis i.e. P(Reject H₀ / H₀ is true)

The correct answer is B

B. The investigation wrongly concludes the foreign government did not sabotage the nation's political process, when they in fact did. They would have wasted a large amount of time investigating to conclude nothing, and the perpetrators would go unpunished.

Type 2 error

Type 2 error is the acceptance of the false null hypothesis i.e. P(Accept H₀ / H₀ is false)

The correct answer is B

B. The investigation wrongly concludes the foreign government sabotaged the nation's political process, when they in fact did not. This could lead to strained diplomatic relations and potentially war and death.