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.

type of community and response

Short answer

There is no association exists between type of community and response at the 5% significance level.

Step-by-step solution

Step 1. Given  information

Given significance level$=5\%$

The given specified pair of variables.= type of community and response

Step 2. Check whether there is an association exists between the specified pair of variables or not. 

The hypotheses are given below:
Null hypothesis:
H₀ : There is no association exists between type of community and response.
Alternative hypothesis:
H₁ : There is an association exists between type of community and response.

Step 3. Use MINITAB to obtain the test statistic and p-value.

MINITAB procedure:
Step 1: Choose Stat > Tables>Chi-Square test for association.
Step 2: In Columns containing the table, enter the column of Male and Female.
Step 3: In Rows, select Response.
Step 4: Under Statistics, select Chi-square test, Display counts in each cell, Display marginal counts and expected cell counts.
Step 5: Click OK.

Step 4. Finding MINITAB output

Chi-Square Test for Association: RESPONSE, Worksheet columns

From the MINITAB output,the value of the chi-square statistic is$6.952$ and the p-value is$0.138$

Step 5. Finding the conclusion for above problem

Here, theP-value is greater than the level of significance.
That is, P-value $\left(=0.138)>\alpha (=0.05\right)$.
Therefore, the null hypothesis is not rejected at5%level.
Thus, there is no association exists between type of community and response at the 5% significance level.