# Question: Let x denote the test statistic for a hypothesis test

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 9.61.

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 9.61.

## Answer to relevant Questions

Explain why considering outliers is important when you are conducting a one-mean z-test. x-bar = 24, n = 15, σ = 4, H0: μ = 22, Ha: μ > 22 We have provided a sample mean, sample size, and population standard deviation. In each case, use the one-mean z-test to perform the required hypothesis test at the 5% ...Iron is essential to most life forms and to normal human physiology. It is an integral part of many proteins and enzymes that maintain good health. Recommendations for iron are provided in Dietary Reference Intakes, ...The Educational Resource Service publishes information about wages and salaries in the public schools system in National Survey of Salaries and Wages in Public Schools. The mean annual salary of (public) classroom teachers ...x-bar = 24, s = 4, n = 15, H0: μ = 22, Ha: μ > 22 We have provided a sample mean, sample standard deviation, and sample size. In each case, use the one-mean t-test to perform the required hypothesis test at the 5% ...Post your question