Midterm 2 Flashcards by Donny Geisler

Flashcards in Midterm 2 Deck (7)

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True or False?

It is possible that the type II error probability is very small, but the probability of H₀ being true is large.

True

True or False?

If the null hypothesis and alternative hypothesis are both simple, then a most powerful critical region of size a = .05 exists and can be created using Neyman-Pearson Lemma.

False

True or False?

A p-value indicates how extreme the observed sample is when H₀ is true.

True

True or False?

If the null hypothesis and alternative hypothesis are both simple, then the critical region of the Likelihood Ratio Test is the same as the critical region obtained via Neyman-Pearson Lemma.

False

True or False?

A larger p-value implies more likely the null hypothesis being true.

False

What is the probability of a type I error a?

The probability that we reject the null hypothesis when it is true

What is the probability of a type II error B?

The probability that we accept the null hypothesis when it is false

Midterm 2 Flashcards Preview

Stat 4202 > Midterm 2 > Flashcards

True or False?

It is possible that the type II error probability is very small, but the probability of H₀ being true is large.

True

True or False?

If the null hypothesis and alternative hypothesis are both simple, then a most powerful critical region of size a = .05 exists and can be created using Neyman-Pearson Lemma.

False

True or False?

A p-value indicates how extreme the observed sample is when H₀ is true.

True

True or False?

If the null hypothesis and alternative hypothesis are both simple, then the critical region of the Likelihood Ratio Test is the same as the critical region obtained via Neyman-Pearson Lemma.

False

True or False?

A larger p-value implies more likely the null hypothesis being true.

False

What is the probability of a type I error a?

The probability that we reject the null hypothesis when it is true

What is the probability of a type II error B?

The probability that we accept the null hypothesis when it is false

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Midterm 2 Flashcards Preview

Stat 4202 > Midterm 2 > Flashcards

True or False? It is possible that the type II error probability is very small, but the probability of H0 being true is large.

True

True or False? If the null hypothesis and alternative hypothesis are both simple, then a most powerful critical region of size a = .05 exists and can be created using Neyman-Pearson Lemma.

False

True or False? A p-value indicates how extreme the observed sample is when H0 is true.

True

True or False? If the null hypothesis and alternative hypothesis are both simple, then the critical region of the Likelihood Ratio Test is the same as the critical region obtained via Neyman-Pearson Lemma.

False

True or False? A larger p-value implies more likely the null hypothesis being true.

False

What is the probability of a type I error a?

The probability that we reject the null hypothesis when it is true

What is the probability of a type II error B?

The probability that we accept the null hypothesis when it is false

Key Links

Subjects

Company

Find Us

Brainscape's Knowledge Genome^TM

True or False?

It is possible that the type II error probability is very small, but the probability of H₀ being true is large.

True or False?

If the null hypothesis and alternative hypothesis are both simple, then a most powerful critical region of size a = .05 exists and can be created using Neyman-Pearson Lemma.

True or False?

A p-value indicates how extreme the observed sample is when H₀ is true.

True or False?

If the null hypothesis and alternative hypothesis are both simple, then the critical region of the Likelihood Ratio Test is the same as the critical region obtained via Neyman-Pearson Lemma.

True or False?

A larger p-value implies more likely the null hypothesis being true.