Elementary Statistics: A Step By Step Approach
10th Edition
ISBN: 9781259755330
Author: Allan G. Bluman
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 13.5, Problem 2E
For Exercises 1 through 12, use the Kruskal-Wallis test and perform these steps.
a. State the hypotheses and identify the claim.
b. Find the critical value.
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.
2. Mathematics Literacy Scores Through the Organization for Economic Cooperation and Development (OECD), 15-year-olds are tested in member countries in mathematics, reading, and science literacy. Listed are randomly selected total mathematics literacy scores (i.e., both genders) for selected countries in different parts of the world. Test, using the Kruskal-Wallis test, to see if there is a difference in means at α = 0.05.
| Western Hemisphere | Europe | Eastern Asia |
| 527 | 520 | 523 |
| 406 | 510 | 547 |
| 474 | 513 | 547 |
| 381 | 548 | 391 |
| 411 | 496 | 549 |
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Determine the first step of hypothesis testing, and explain the procedure and logic of this step. Choose the correct answer below.
A.
The first step is to determine the level of significance at which to conduct the hypothesis test. The conventional levels of significance used are 5% and 1%, which are described as the 0.05 significance level and the 0.01 significance level, respectively. When a sample score is so extreme that researchers reject the null hypothesis, the result is said to be statistically significant.
B.
The first step is to restate the question as a research hypothesis and a null hypothesis about the populations. Since researchers are interested in the results in terms of the population, it is useful to restate the research question in terms of populations. The research hypothesis represents the research question being asked.
C.
The first step is to determine the characteristics of the comparison distribution. The overall logic of hypothesis…
1. Explain the concept of a hypothesis test, and why it is used in
research and science.
2. Conduct a hypothesis test, by executing the following steps:
a. Identifying the correct type of test.
b. Creating the two hypotheses.
c. Organizing the information from the problem.
d. Calculating any missing statistics.
e. Finding the P-value on your calculator.
f. Making the decision of the test.
g. Writing a sentence which embodies your decision.
3. Differentiate between a 1-sided and 2-sided test.
4. Differentiate between a 1-proportion z-test and 2-proportion z-test.
Consider the hypothesis test below, with n = 65 and p = 0.46.
Ho: p=0.38
HA:p#0.38
a = 0.05
a. State the decision rule in terms of the critical value of the test statistic.
b. State the calculated value of the test statistic.
c. State the conclusion.
a. Select the correct choice below and fill in the answer box(es) to complete your choice.
(Round to two decimal places as needed.)
O A. Reject the null hypothesis if the calculated value of the test statistic, z, is greater than
and less than
Otherwise, do not reject the null hypothesis.
O B. Reject the null hypothesis if the calculated value of the test statistic, z, is less than
Otherwise, do not reject the null hypothesis.
O C. Reject the null hypothesis if the calculated value of the test statistic, z, is greater than
Otherwise, do not reject the null hypothesis.
O D. Reiect the null hvpothesis if the calculated value of the test statistic. z. is areater than
or less than
Otherwise. do not reiect the null hvpothesis.
Chapter 13 Solutions
Elementary Statistics: A Step By Step Approach
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