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Chapter 11: Q. 3 (page 734)

The conditions for carrying out the chi-square test in exercise T11.2 are

I. Separate random samples from the populations of interest.

II. Expected counts large enough.

III. The samples themselves and the individual observations in each sample are independent.

Which of the conditions is (are) satisfied in this case?

(a) I only

(d) Il and III only

(b) II only

(e) I, II, and III

(c) I and II only

Short Answer

Expert verified

(e) I, II, and III

Step by step solution

01

Given Information

Need to say which case satisfies the conditions.

02

Explanation

The test that was executed in exercise 2 was the chi-square test for association/independence.

There are three requirements to perform this test: Random, Normal, and Independent.

Random: The samples need to be separate random samples of the population.

Normal: All expected counts need to be at least 5

Independent: The samples are independent and the individual observations in each sample are independent.

Thus I, II, and III all need to be satisfied in this case, and thus answer (e) is correct.

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