91Ó°ÊÓ

The given significance level $=5\%$

The given specified pair of variables= educational attainments and response

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

Step 2: Decide the level of significance.
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 Postgraduate, College graduate, Some college and No college.
Step 3: Click OK.

From the MINITAB output,the value of the chi-square statistic is$13.651$

From the MINITAB output, the P-value is $=0.034$

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$\left(0.034\right)<\mathrm{Î\pm }=(0.005)$.
Therefore, the null hypothesis is rejected at5%level.
Thus, the results are statistically significant at 5% level of significance.

Interpretation:
Thus, there is an association exists between education attainments and response at the 5% significance level.