12 Questions
What is the purpose of hypothesis testing?
To determine if the observed data are consistent with the hypothesis
What does the p-value measure in hypothesis testing?
It quantifies how likely the observed data are under the assumption of the null hypothesis
In statistical hypothesis testing, what does a p-value close to 1 indicate?
The null hypothesis is likely true
What is the interpretation of a p-value of 0.125 in hypothesis testing?
The data are somewhat likely under the null hypothesis
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
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
What does the p-value measure in hypothesis testing?
Probability of the observed data given the null hypothesis
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
What does a small p-value indicate in hypothesis testing?
Strong evidence against the null hypothesis
Why is it emphasized that we should not discuss 'evidence for H0'?
The probability of H0 is not measurable
What role does sample size play in determining the p-value?
It decreases the probability of observing extreme data under the null hypothesis
What distinguishes statistical significance from practical significance in hypothesis testing?
'Practical significance' takes into account the size of the statistic
Learn about hypothesis testing in statistics, where observations are compared to a theory to determine if they are consistent with the hypothesis. Explore how statistical hypothesis testing works using an example and understand the concepts involved.
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