91Ó°ÊÓ

The level of significance \(\alpha =0.05\)

Consider the below test hypothesis.

Null hypothesis:

\(H_{0}\): There is no association exist between age and response..

Alternative hypothesis:

\(H_{a}\): There is association exist between age and response.

By using any software perform the chi-square homogeneity test to find the test statistic.

Enter the given data,

Then we get, the chi-square static as \(=41.430, p-value=0.00\)

Then, we have the

The rejection rule:

\(p-value \leq \alpha\), then null hypothesis rejected.

The level of significance \(\alpha =0.05\)

Here , clearly \(p-\)value is less than the level of significance.

\(p-value (0.00)<\alpha (0.05)\)

So, the null hypothesis is rejected at \(5%\) significant level.

Thus the results are statistically significant at \(5%\) significant level.

Hence,

The data provide is sufficient evidence to conclude that an association exist between age and response.