written 7.7 years ago by
teamques10
★ 64k
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•
modified 7.7 years ago
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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 :
$$X^2_{cal}=\ \frac{\sum{{(O-E)}^2}}{E} = 9.2129$$
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.