91Ó°ÊÓ

The given significance level $=5\%$

The given specified pair of variables= age and response

Step 1:
The test hypotheses are given below:
Null hypothesis:
H₀ : There is no association exists between age and response.
Alternative hypothesis:
H₁ : There is an association exists between age and response.

Here, the level of significance is, $\mathrm{Î\pm }=0.05$

MINITAB procedure:
Step 1: Choose Stat > Tables > Chi-Square Test (Two-Way Table in Worksheet).
Step 2: In Columns containing the table, enter the columns of 18-29 years,30−49years, 50-64 years and 65 and older.
Step 3: Click OK.

Chi-square test for $18-29$years,$30-49$years,$50-64$years, $65$and above

From the MINITAB output,the value of the chi-square statistic is$41.430$

From the MINITAB output, the P-value is$0.000$

Rejection rule:
If P-value$≤\mathrm{Î\pm }$, then reject the null hypothesis.
Here, theP-value is lesser than the level of significance,
That is,P-value$(=0.000)<\mathrm{Î\pm }(=0.05).$
Therefore, the null hypothesis is rejected at$5\%$level.
Thus, the results are statistically significant at$5\%$level of significance.

Interpretation:
Thus, there is an association exists between age and response at the $5\%$significance level.