Indicate whether the following statements are true or false.
(a) A p value is the probability that the null hypothesis is true.
(b) A p value is a measure of discrepancy of the fit of the null hypothesis to the data
(c) A p value is the probability of rejecting the null hypothesis when it is true.
(d) A p value is the probability of observing data at least as favourable to the alternative hypothesis as our current data set, if the null hypothesis is true.
(e) A p value close to 0 indicates that the alternative hypothesis is correct.
(f) A p value close to 0.5 indicates that there is a 50% chance that the alternative hypothesis is true.
Answer:
(a) A p value is the probability that the null hypothesis is true.This statement is "False" because The p-value is The probability that the alternative hypothesis is true.
(b) A p value is a measure of discrepancy of the fit of the null hypothesis to the data.This statement is "True".
(c) A p value is the probability of rejecting the null hypothesis when it is true.This statement is "True".
(d) A p value is the probability of observing data at least as favourable to the alternative hypothesis as our current data set, if the null hypothesis is true.This statement is "True".
(e) A p value close to 0 indicates that the alternative hypothesis is correct.ThIs Statement is "False"
(f) A p value close to 0.5 indicates that there is a 50% chance that the alternative hypothesis is true.
This statement is "False".
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