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Chapter 11: Q.56 (page 730)

The cell in the table that contributes the most to the chi-square statistic is (a) Female, 50鈥�50 chance.

(b) Male, 50鈥�50 chance.

(c) Female, almost certain.

(d) Male, almost certain.

(e) All the cells contribute equally to the test statistic.

Short Answer

Expert verified

The correct option is (d) Male, almost certain.

Step by step solution

01

Given Information

The table is

02

Explanation

To determine the cell that contributes more to the test statistic that need to be computed based on the expected frequency.

The chi-square test formula is

蠂2=鈭�Oi-Ei2Ei

The Expected frequency formula is given below as,

Ei=Row total脳Column totalGrand total

The expected frequency for observations is calculated as follows:

E1=222脳26254877

E1=119.5

03

Explanation

From the above table, the last column represents the each cell contribution to test statistic.

It can be seen that 20.51 is the largest value among them. It represents the value of Male, almost certain.

Thus, Male, almost certain cell contributes most to the test statistic.

Therefore correct option is (d) Male, almost certain.

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