According to the ICR research group, 63% of Americans in the 18-34 age
group say they are comfortable filing income tax returns
electronically, compared to just 49% of those who are 55-64. Using the
0.025 level of significance, and assuming there were 200 persons
surveyed from each age group, examine whether Americans in the 18-34
age group might be more comfortable with electronic filing than their
counterparts in the 55-64 group. Determine and interpret the p-value
for the test. (Hyp Test, two sample means)

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Request for Question Clarification by jeremymiles-ga on 17 Apr 2003 04:49 PDT

Do you really want a hypothesis test with 2 sample means?  This looks
like the outcome is categorical (nominal), hence a test of two sample
proportions would be more appropriate.

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Clarification of Question by wta2k-ga on 17 Apr 2003 05:12 PDT

Right, " or proportions" ^_^

This question can be answered using a chi-square test.  There is a
rather handy web page, which will do the calculations for you, at:
http://www.georgetown.edu/faculty/ballc/webtools/web_chi.html

First, we have two columns (the two age groups) and two rows (the
number, NOT the proportion of people happy doing it electronically).

We know there were 200 in each age group, so the table looks like:
         Happy            Not happy
18-34    126              74 
55-64     98             102

Click on calculate, and we find that chi-square = 7.95, and p < 0.025.
 We can therefore conclude that the difference in the proportions is
statistically significant, and unlikely to have arisen by chance.

Please feel free to request clarification, if this is not sufficient.

Search strategy:
chi-square

://www.google.co.uk/search?q=chi%2Dsquare

jeremymiles-ga

P.S.  If you are typing, and want to type the Greek letter chi
(pronounced Ky, like Sky, without the S) type a lower case c, and
change the font to symbol.