The polling organization Ipsos conducted telephone surveys in march of 2004, 200
ID: 3200609 • Letter: T
Question
The polling organization Ipsos 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 .05 significance level. (Use 2 decimal places.) The polling organization Ipsos 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 .05 significance level. (Use 2 decimal places.) Intent to Pay Taxes with a Credit Card 2004 2005 2006 Definitely/Probably Will 45 Might/Might Not/Probably Not 187 68 185 Definitely Npt 774 798 762 P-value interval pExplanation / Answer
Hypotheses:
H0: The null hypotheses states that the proportion of intent to pay taxes with a credit card in three categories is identical in all three years.
Pdefinitely/probably will pay taxes with a credit card in 2004=Pdefinitely/probably will pay taxes with a credit card in 2005=Pdefinitely/probably will pay taxes with a credit card in 2006
Pmight/might not/probably not pay taxes with a credit card in 2004=
Pmight/might not/probably not pay taxes with a credit card in 2005=
Pmight/might not/probably not pay taxes with a credit card in 2006
Pdefinitely not pay taxes with a credit card in 2004=Pdefinitely not pay taxes with a credit card in 2005=Pdefinitely not pay taxes with a credit card in 2006
H1:Atleast one of the null hypotheses is false.
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