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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=鈭�(i脳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 is the p-value?

A company packages apples by weight. One of the weight grades is Class Aapples. Class Aapples have a mean weight of 150g, and there is a maximum allowed weight tolerance of 5%above or below the mean for apples in the same consumer package. A batch of apples is selected to be included in a ClassAapple package. Given the following apple weights of the batch, does the fruit comply with the Class Agrade weight tolerance requirements. Conduct an appropriate hypothesis test.

(a) at the 5%significance level

(b) at the 1%significance level Weights in selected apple batch (in grams): 158; 167; 149; 169;164; 139; 154; 150; 157 ; 171; 152; 161 ; 141; 166; 172;

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

The test to use to determine if a six-sided die is fair is a goodness-of-fit test.

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

The Insurance Institute for Highway Safety collects safety information about all types of cars every year, and publishes a report of Top Safety Picks among all cars, makes, and models. Table 11.58 presents the number of Top Safety Picks in six-car categories for the two years 2009 and 2013. Analyze the table data to conclude whether the distribution of cars that earned the Top Safety Picks safety award has remained the same between 2009 and 2013. Derive your results at the 5%

significance level.
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