Question 1

Question 1: The following table shows the classification of applications for secretarial and for sales positions according to gender. Calculate the value of ϰ2 statistic.

Accepted Answer

Table of observed frequencies. Expected frequencies are given by Eij = E11 = = 75 E12 = = 150 E21 = = 25 E22 = = 50 Table of expected frequencies.

Question 2

Question 2: 200 teenagers were asked which takeaway food do they prefer – French fries, burgers, or pizza. The results were- Compute ϰ2 statistic.

Accepted Answer

Table of observed frequencies. Expected frequencies are given by Eij = E11 = = 6 E12 = = 15 E13 = = 29 E21 = = 18 E22 = = 45 E23 = = 87 Table of expected frequencies.

Question 3

Question 3: A sample of men and women who had passed their driving test either in 1st attempt or in 2nd attempt were surveyed. Compute ϰ2 statistic.

Accepted Answer

Table of observed frequencies. Expected frequencies are given by Eij = E11 = = 30 E12 = = 30 E21 = = 10 E22 = = 10 Table of expected frequencies.

Question 4

Question 4: 800 people were asked whether they wear glasses for reading with the following results. Compute the ϰ2 square statistic.

Accepted Answer

Table of observed frequencies. Expected frequencies are given by Eij = E11 = = 300 E12 = = 100 E21 = = 300 E22 = = 100 Table of expected frequencies.

Question 5

Question 5: Out of a sample of 120 persons in a village, 80 were administered a new drug for preventing influenza, and out of the 18 were attacked by influenza. Out of those who are not admini

Accepted Answer

(i) The given data can be arranged in the following table. The observed frequency table can be prepared as follows:

Chapter 4 Bivariate Frequency Distribution and Chi Square Statistic Ex 4.2 Solutions