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?

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

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

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

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

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

What does the p-value measure in hypothesis testing?

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

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

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

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

<p>Strong evidence against the null hypothesis (B)</p> Signup and view all the answers

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

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

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

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

What distinguishes statistical significance from practical significance in hypothesis testing?

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

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