Question

A polling organization conducted telephone surveys in March of 2004, 2005 and 2006. In each year, 1001 people age 18 or older were asked about whether they planned to use a credit card to pay federal income taxes that year. The data are given in the accompanying table. Is there evidence that the proportion falling in the three credit card response categories is not the same for all three years? Test the relevant hypotheses using a 0.05 significance level. (Round your answer to two decimal places.)

Intent to Pay Taxes with a Credit Card
	2004	2005	2006
Definitely/Probably Will Might/Might Not/Probably Not Definitely Not	41 166 794	44 184 773	48 178 775

χ² =

P-value interval

p < 0.001

0.001 ≤ p < 0.01   

0.01 ≤ p < 0.05

0.05 ≤ p < 0.10

p ≥ 0.10

Conclusion

The proportion falling in the three credit card response categories is the same for all three years.

The proportion falling in the three credit card response categories is not the same for all three years.    

You may need to use the appropriate table in Appendix A to answer this question.

Answer 1