Question

Online banking A recent poll conducted by the Pew Research Center asked a random sample of $1846$Internet users if they do any of their banking online. The table summarizes their responses by age. $23$Is there convincing evidence of an association between age and use of online banking for Internet users?

Short answer

Yes,here convincing evidence of an association between age and use of online banking for Internet users.

Step-by-step solution

Given information 

We have to tell about here convincing evidence of an association between age and use of online banking for Internet users.

Explanation 

The significamce level of $\alpha$is $0.05$.

There is no link between online banking and age.

The expected frequencies are:

$E_{11}=\frac{r_1\times c_1}{n}=\frac{1088\times 395}{1846}\approx 232.81$

Finally, after determining all of the other characteristics, we arrive at

$E_{24}=\frac{r_2\times c_4}{n}=\frac{158\times 356}{1846}\approx 146.18$

Hypothesis Test:

${\chi }^2=\sum \frac{(O-E{)}^2}{E}$

Using the above formula we get=$43.79$

$P<0.05\Rightarrow \text{Reject}{H}_0$

There is evidence that there is a link between online banking and age.