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Chapter 11: Q. 95 (page 665)

Read the statement and decide whether it is true or false.

The test for independence uses tables of observed and expected data values.

Short Answer

Expert verified

The statement is true.

Step by step solution

01

Concept Introduction

The Chi-square test of independence is a statistical hypothesis test used to determine whether two categorical or nominal variables are likely to be related or not.

02

Explanation

The test statistic of the independence test is given below:

Teststatistic=∑(i×j)(O-E)2E

Here, Ois observed value and Eis expected value.

Therefore, it can say that the test for independence uses tables of observed and expected data values. Hence, the statement is true.

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Most popular questions from this chapter

What can you conclude at the 5% significance level ?

Perform a goodness-of-fit test to determine whether the local results follow the distribution of the U.S. overall student population based on ethnicity.

Conduct a goodness-of-fit test to determine if the actual college majors of graduating females fit the distribution of their expected majors.

Major Women -Expected MajorWome -Actual Major
Arts & Humaities 14.0% 670
Biological Sciences
 8.4% 410
Business
 13.1% 685
Education 13.0% 650
Engineering
 2.6% 145
Physical Sciences
 2.6% 125
Professional
 18.9% 975
Social Sciences
 13.0% 605
Technical
 0.4% 15
Other
 5.8% 300
Undecided 8.0% 420

Table 11.42contains information from a survey among 499participants classified according to their age groups. The second column shows the percentage of obese people per age class among the study participants. The last column comes from a different study at the national level that shows the corresponding percentages of obese people in the same age classes in the USA. Perform a hypothesis test at the 5% significance level to determine whether the survey participants are a representative sample of the USA obese population.

Age Class (Years) Obese Expected (percentage) Obese Observed (Frequencies)
20-30
22.4
122
31-40
18.6
104
41-50
12.8
78
51-60
10.4
64
61-70
35.8
168

Table11.42

Suppose that 600thirty-year-olds were surveyed to determine whether or not there is a relationship between the level of education an individual has and salary. Conduct a test of independence

AnnualSalaryNot a high schoolgraduateHigh schoolgraduateCollegegraduateMasters ordoctorate<\(30,0001525105\)30,000-\(40,00020407030\)40,000-\(50,00010204055\)50,000-\(60,0005102060\)60,000+0510150
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