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 Subject: bus-stati Category: Science > Math Asked by: wta2k-ga List Price: \$11.25 Posted: 17 Apr 2003 01:15 PDT Expires: 17 May 2003 01:15 PDT Question ID: 191616
 ```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)``` 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.``` 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.```