A statistical test is performed, and its P-value turns out to be about 3%. Which of the following must be true? Pick all that are correct.
a) The null hypothesis is true.
b)There is about a 3% chance that the null hypothesis is true.
c) The alternative hypothesis is true. d) There is about a 97% chance that the alternative hypothesis is true.
e) If the null hypothesis were true, there would be about a 3% chance of getting data that were like those that were observed in the sample or even further in the direction of the alternative.
f) The P-value of about 3% was computed assuming that the null hypothesis was true
Correct is only a?
F is definitely true, since it essentially repeats your data.
The rest depend on what critical value you are using to reject the null hypothesis. The most commonly used are P≤.05 or P≤.01.
Thank you PsyDag.
5% cutoff
What is the correct answer?
E y F
No, the correct answers are a), e), and f).
a) The null hypothesis is true: This is a possible outcome, but not necessarily true. The P-value only provides evidence against the null hypothesis, but it does not prove that the null hypothesis is true.
e) If the null hypothesis were true, there would be about a 3% chance of getting data that were like those that were observed in the sample or even further in the direction of the alternative: This is correct. The P-value represents the probability of obtaining data as extreme or more extreme than the observed data, assuming the null hypothesis is true. In this case, a P-value of 3% means that if the null hypothesis were true, there would be approximately a 3% chance of getting the observed or more extreme data.
f) The P-value of about 3% was computed assuming that the null hypothesis was true: This is also correct. The P-value is calculated based on the assumption that the null hypothesis is true, and it represents the probability of obtaining the observed data or more extreme data under that assumption.
b), c), and d) are not necessarily true based solely on the P-value. The P-value does not directly provide information about the chance or probability of the null hypothesis or the alternative hypothesis being true. It only provides evidence against the null hypothesis.