91Ó°ÊÓ

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

Here, the level of significance is,$\mathrm{Î\pm }=0.01$

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 Male and Female.
Step 3: Click OK.

chi-square test: male,female

From the MINITAB output,the value of the chi-square statistic is $10.821$

From the MINITAB output, the P-value is, $0.0004$

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$(=0.004)<\mathrm{Î\pm }(=0.01).$
Therefore, the null hypothesis is rejected at 1% level.
Thus, the results are statistically significant at 1% level of significance.