1. Mark each of the following statements True or False. You must justify each an
ID: 3311980 • Letter: 1
Question
1. Mark each of the following statements True or False. You must justify each answer, short answers "True or "False" will receive no credit regardless if they are right or wrong. a. The P-value is the probability of rejecting Ho when it is true. (2 points) b. If P-value = 0.01, there is a 1% probability that H0 is true. (2 points) c. If P-value = 0.01, H0 might be true but it is unlikely. (2 points) d. If P-value = 0.03, the result is statistically significant at the 5% level but not at the 10% level. (2 points) e. If P-value = 0.08, the result is statistically significant at the 10% level but not at the 5% level. (2 points)Explanation / Answer
a) The p-value is the probability of getting the result given that H0 is true that is given that H0 is true we get the test significant and we reject the null hypothesis.
Therefore the given statement is TRUE
b) A p-value of 0.01 does not mean that the probability of H0 being true is 0.01, but it means that the test is significant at 1% of the times given that H0 is true.
Therefore the given statement is FALSE
c) a p-value of 0.01 means that there is only a 1% chance that given H0 is true we reject it.
Therefore the given statement is TRUE
d) a p-value of 0.03 < 0.05 which is the level of significance, therefore the test is significant at 5% level of significance. Also 0.03 < 0.1, therefore the test is significant at 10% level of significance also.
Therefore the given statement is FALSE
e) The given statement here is TRUE
because the p-value here is 0.08 < 0.1 but 0.08 > 0.05
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