Obtaining the P-value. Let x denote the test statistic for a hypothesis test and x0 its observed value. Then the P-value of the hypothesis test equals a. P(x ≥ x0) for a right-tailed test,b. P(x ≤ x0) for a left-tailed test,c. 2 min{P(x ≤ x0), P(x ≥ x0)} for a two-tailed test, where the probabilities are computed under the assumption that the null hypothesis is true. Suppose that you are considering a one-mean z-test. Verify that the probability expressions in parts (a)–(c) are equivalent to those obtained in Exercise. Consider a one-mean z-test. Denote z0 as the observed value of the test statistic z. If the test is right tailed, then the P value can be expressed as P(z ≥ z0). Determine the corresponding expression for the P-value if the test is a. left tailed. b. two tailed.
Obtaining the P-value. Let x denote the test statistic for a hypothesis test and x0 its observed value. Then the P-value of the hypothesis test equals
a. P(x ≥ x0) for a right-tailed test,
b. P(x ≤ x0) for a left-tailed test,
c. 2 min{P(x ≤ x0), P(x ≥ x0)} for a two-tailed test,
where the probabilities are computed under the assumption that the null hypothesis is true. Suppose that you are considering a one-mean z-test. Verify that the probability expressions in parts (a)–(c) are equivalent to those obtained in Exercise.
Consider a one-mean z-test. Denote z0 as the observed value of the test statistic z. If the test is right tailed, then the P value can be expressed as P(z ≥ z0). Determine the corresponding expression for the P-value if the test is
a. left tailed. b. two tailed.
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