Hypothesis tests

This is a useful exercise to test your understanding of hypothesis tests. You carry out a one-tail

hypothesis test and obtain the result z = 2.3, P-value = 0.01. Which of the following statements are true?

(a) You have disproved the null hypothesis.

(b) You have found the probability that the null hypothesis is true.

(c) You have proved the alternative hypothesis to be true.

(d) You can calculate the probability of the alternative hypothesis being true.

(e) If you reject the null, you know the probability of having made the wrong decision.

(f) If this experiment were repeated many times, a statistically significant result would be

obtained in 99% of trials.

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