Problem 7

At a 1% level of significance conduct a test of hypothesis to determine whether there is a significant relationship between Recode(Variable1) and Recode(Variable2), based on the twenty customer responses you created in Problem 1. In your answer make sure that you construct, by hand, the appropriate table showing all the frequencies ,expected, and marginal frequencies. Also show H0 and Ha, sketch the sampling distribution showing the critical value(s) and the rejection region. Use your calculator to make all the required computations including the test statistic and also state the decision and conclusion in the context of your survey. Show ALL work. Where relevant, keep all your work and your final answer to a minimum of four decimals, unless otherwise stated. (10 marks)

Gender (vARIABLE1)

1

1

1

1

1

1

1

1

1

1

2

2

2

2

2

1

1

1

1

1

Recode(Gender) 1= FEMALE, 2= MALE

Female

Female

Female

Female

Female

Female

Female

Female

Female

Female

Male

Male

Male

Male

Male

Female

Female

Female

Female

Female

Satisfy (vARIABLE 2)

1

1

1

1

1

1

1

1

1

1

2

3

1

2

3

1

2

3

1

2

Recode(Satisfy) (1= Very satisfied, 2= satisfied, 3= not satisfied)

very satisfied

very satisfied

very satisfied

very satisfied

very satisfied

very satisfied

very satisfied

very satisfied

very satisfied

very satisfied

satisfied

Not satisfied

very satisfied

satisfied

Not satisfied

very satisfied

satisfied

Not satisfied

very satisfied

satisfied