2
Based on the following data, can you say that there is no relation between smoking and literacy.

Mumbai University > Mechanical Engineering > Sem 4 > Applied Mathematics IV

Marks: 8M

Year: Dec 2014

mumbai university maths4mech • 448  views
2  upvotes
0

enter image description here

Step 1 :

Null hypothesis : $(H_0)\ There\ is\ no\ relation\ between\ \ literacy\ and\ illiteracy$

Alternative hypothesis : There is relation between literacy and smoking

Step 2 :

L.O.S = 5% (Two failed tests)

Degree of freedom = (r-1)(c-1) = (2-1)(2-1) = 1

$\mathrm{\therefore }$ Critical value ${\left(X_{\propto }\right)}^2=3.841$

Step 3 :

enter image description here

$$X^2_{cal}=\ \frac{\sum{{(O-E)}^2}}{E} = 9.2129$$

Step 4 : Decision

Since $X^2_{cal}\gt\ $ ${\left(X_{\propto }\right)}^2$

${\boldsymbol{H}}_{\boldsymbol{O}}$is rejected.

$\boldsymbol{\mathrm{\therefore }}$ There is no relation between literacy and smoking.

0  upvotes
Please log in to add an answer.

Next up

Read More Questions

If you are looking for answer to specific questions, you can search them here. We'll find the best answer for you.

Search

Study Full Subject

If you are looking for good study material, you can checkout our subjects. Hundreds of important topics are covered in them.

Know More