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Hypothesis Testing in Statistics

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Questions and Answers

What is the purpose of hypothesis testing?

To determine if the observed data are consistent with the hypothesis (correct)

To prove the null hypothesis is true

To calculate the p-value accurately

To reject all hypotheses

What does the p-value measure in hypothesis testing?

It quantifies how likely the observed data are under the assumption of the null hypothesis (correct)

It measures the probability of the null hypothesis being correct

It confirms the alternative hypothesis

It proves the null hypothesis

In statistical hypothesis testing, what does a p-value close to 1 indicate?

Strong evidence against the null hypothesis

The null hypothesis is likely true (correct)

Strong evidence for the null hypothesis

The null hypothesis is definitely false

What is the interpretation of a p-value of 0.125 in hypothesis testing?

The data are somewhat likely under the null hypothesis (A) Signup and view all the answers

How does statistical hypothesis testing use the concept of p-value?

To assess how probable the data are under the assumption of the null hypothesis (D) Signup and view all the answers

Why should one not conclude that a p-value of 1 means the null hypothesis is true?

P-values do not relate to hypotheses being true or false (A) Signup and view all the answers

What does the p-value measure in hypothesis testing?

Probability of the observed data given the null hypothesis (A) Signup and view all the answers

Why is it incorrect to say we have found evidence for the null hypothesis?

The p-value measures evidence against the null hypothesis, not for it (C) Signup and view all the answers

What does a small p-value indicate in hypothesis testing?

Strong evidence against the null hypothesis (B) Signup and view all the answers

Why is it emphasized that we should not discuss 'evidence for H0'?

The probability of H0 is not measurable (B) Signup and view all the answers

What role does sample size play in determining the p-value?

It decreases the probability of observing extreme data under the null hypothesis (B) Signup and view all the answers

What distinguishes statistical significance from practical significance in hypothesis testing?

'Practical significance' takes into account the size of the statistic (B) Signup and view all the answers

Hypothesis Testing in Statistics

Choose a study mode

Podcast

Questions and Answers

What is the purpose of hypothesis testing?

What does the p-value measure in hypothesis testing?

In statistical hypothesis testing, what does a p-value close to 1 indicate?

What is the interpretation of a p-value of 0.125 in hypothesis testing?

How does statistical hypothesis testing use the concept of p-value?

Why should one not conclude that a p-value of 1 means the null hypothesis is true?

What does the p-value measure in hypothesis testing?

Why is it incorrect to say we have found evidence for the null hypothesis?

What does a small p-value indicate in hypothesis testing?

Why is it emphasized that we should not discuss 'evidence for H0'?

What role does sample size play in determining the p-value?

What distinguishes statistical significance from practical significance in hypothesis testing?

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