Question

Job Satisfaction. A CNN/USA TODAY poll conducted by Gallul asked a sample of employed Americans the following question: "Which do you enjoy more, the hours when you are on your job, or the hours when you are not on your job?" The responses to this question were cross-tabulated against several characteristics, among which were gender, age, type of community, educational attainment, income, and type of employer. The data are provided on the WeissStats site. In each of Exercises 12.87-12.92, use the technology of your choice to decide, at the 5% significance level, whether an association exists between the specified pair of variables.

Gender and response

Short answer

The null hypothesis is not rejected at 5% level.

There is no association between gender and response at the 5% significance level.

Step-by-step solution

Step 1. Given information 

The given significance level$5\%$

The given specified pair of variables= gender and response

Step 2. Check whether or not there is association exists between age and response at 5% significance level. 

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.

Step 3.  Finding the level of significance 

Here, the level of significance is, 5%

Step 4. Find the expected frequency and test statistic. 

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: In rows, select response
Step 4: Click OK.

Step 5. Finding the MINITAB output