Which one of the following statements is FALSE ? The p-value gives an indication
ID: 3070445 • Letter: W
Question
Which one of the following statements is FALSE?
The p-value gives an indication of how close our estimate is to the hypothesized value of the parameter.
Assume the level of significance for a test and the effect size of interest are both fixed. Then, increasing the sample size will decrease P[Type2 error].
When the null hypothesis is TRUE, P[Type 1 error] = the level of significance of the test (alpha)
The p-value is a conditional probability.
The p-value is the probability of getting our sample result.
a.The p-value gives an indication of how close our estimate is to the hypothesized value of the parameter.
b.Assume the level of significance for a test and the effect size of interest are both fixed. Then, increasing the sample size will decrease P[Type2 error].
c.When the null hypothesis is TRUE, P[Type 1 error] = the level of significance of the test (alpha)
d.The p-value is a conditional probability.
e.The p-value is the probability of getting our sample result.
Explanation / Answer
The p-value is the probability that a result at least as extreme as that which was actually observed would occur given that the null hypothesis is true.
a) False
d) FALSE. A p-value is a conditional probability—given the null hypothesis is true, it’s the probability of getting a test statistic as extreme or more extreme than the calculated test statistic.
e) False, The p-value is the probability that a result at least as extreme as that which was actually observed would occur given that the null hypothesis is true.
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