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Q. 13

Expert-verified

Elementary Statistics

Found in: Page 392

Book edition 9th

Author(s) Weiss, Neil

Pages 590 pages

ISBN 9780321989505

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Short Answer

Define the $P$ - value of the hypothesis test.

The \(P-\)value is the probability that the data from the sample is inconsistent with the null hypothesis.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

Define the \(P-\)value of a hypothesis test.

Step 2. Calculation

The definition of the \(P-\)value is the probability that the data from the sample is inconsistent with the null hypothesis.

Thus, \(P-\)value is the probability that the data from the sample is inconsistent with the null hypothesis.

Most popular questions for Math Textbooks

In each of Exercises 9.41-9.46 ,determine the critical values for a one-mean z-test. For each exercise, draw a graph that illustrates your answer

A left-tailed test with $α = 0.05$

Job Gains and Losses. In the article "Business Employment Dynamics: New Data on Gross Job Gains and Losses" (Monthly Labor Review, Vol. 127, Issue 4, pp. 29-42), J. Spletzer et al. examined gross job gains and losses as a percentage of the average of previous and current employment figures. A simple random sample of 20 quarters provided the net percentage gains (losses are negative gains) for jobs as presented on the WeissStats site. Use the technology of your choice to do the following.

a. Decide whether, on average, the net percentage gain for jobs exceeds 0.2. Assume a population standard deviation of 0.42. Apply

which we provide on the WeissStats site. Use the technology of your choice to do the following.

a. Obtain a normal probability plot, boxplot, histogram, and stemand-leaf diagram of the data.

b. Based on your results from part (a), can you reasonably apply the one-mean $z$ -test to the data? Explain your reasoning.

c. At the $1 %$ significance level, do the data provide sufficient evidence to conclude that the mean body temperature of healthy humans differs from $98.6 ° F$ ? Assume that $σ = 0.63 ° F$ .

In each of Exercises 9.41-9.46 ,determine the critical values for a one-mean z-test. For each exercise, draw a graph that illustrates your answer

A right- tailed test with $α = 0.01$

As we mentioned on page 378, the following relationship holds between hypothesis test and confidence intervals for one-mean z-procedures: For a two-tailed hypothesis test at the significance level $α$ , the null hypothesis role="math" localid="1653038937481" $H_{0} : μ = μ_{0}$ will be rejected in favor of the alternative hypothesis $H_{a} : μ \neq μ_{0}$ if and only if $μ_{0}$ lies outside the $(1 - α)$ -level confidence interval for $μ$ . In each case, illustrate the preceding relationship by obtaining the appropriate one-mean z-interval and comparing the result to the conclusion of the hypothesis test in the specified exercise.

Part (a): Exercise 9.84

Part (b): Exercise 9.87

State two reasons why including the P-value is prudent when you are reporting the results of a hypothesis test.

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