Please view image below We wish to examine the relationship between gender and attitudes towards saving. 45 males and 60 females are asked whether theybelieve saving money for the future is a good thing. The only possible answers to the question posed are "yes" or "no". 25 males and 401females answer yes. What is the value of the test statistic for the appropriate hypothesis test to be conducted in this caso?

Answered: We wish to examine the relationship…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Please view image below

We wish to examine the relationship between gender and attitudes towards saving. 45 males and 60 females are asked whether they
believe saving money for the future is a good thing. The only possible answers to the question posed are "yes" or "no". 25 males and 401
females answer yes. What is the value of the test statistic for the appropriate hypothesis test to be conducted in this caso?

Expert Solution

Step 1

To test whether two categorical variables are associated or not, the chi-square test of independence is used. The null hypothesis for this test claims that the variables are independent and the alternate hypothesis claims that the variables are dependent.

The test required observed and expected frequency. The observed frequency is equal to the data collected in the sample and the expected frequency is computed by $E = \frac{(Row total) \times (Column total)}{n}$ . The test statistic for this test is computed $χ^{2} = \sum \frac{{(O - E)}^{2}}{E}$ , where O is observed frequency and E is expected frequency.