Question
1. Are the following statements about p-values correct or not? Give reasons. (a) A p-value is the probability that the null hypothesis is true. (b)
1. Are the following statements about p-values correct or not? Give reasons.
(a) A p-value is the probability that the null hypothesis is true.
(b) A p-value is the probability of observing the test statistic, or a more extreme statistic, under the assumption that the null hypothesis is true
(c) We should always use 0.05 as the significance level
(d) A small p-value proves the null hypothesis isn't true
(e) A p-value of 0.0001 is strong evidence against the null hypothesis
(f) If we fail to reject the null hypothesis (p-value is large) the null hypothesis is true
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