Use the χ2 test for goodness of fit to test the hypothesis that the number of suicides reported for each year from 1990 to 2001 does not differ significantly from an equal number of suicides in each year. (0.05 significance). Based on this result, what might you conclude about the newspaper report, especially in light of the extra information for 1990 – 2001 that is now available to you? Also comment on any possible errors in your own words in the conclusion. For α = 0.05 and 11 degrees of freedom, the χ2 value from the table in Appendix is 19.675
The media often seizes on yearly changes in crime or other statistics. A large jump in the
number of murders from one year to the next, or a large. Decline in the support for a particular
political party may become the subject of many news reports and analysis. These statistics may
be expected to show some shift from year to year, just because there is variation in any
phenomenon. This question addresses this issue by looking at changes in the annual number of
suicides in the province of India.
‘Suicides in India declined by more than 13% from 1993 to 1994,” was the headline in the
India Times in early 1995. The article went on to interview several noted experts on suicide
who gave possible reasons for the large decline. As a student who has just completed a
simulation & Modeling course, you came across the article and decide to check out the data.
By consulting Table given below of India Health, Vital Statistics, Annual Report, for various
years, you find the figures for 1990-2001. The data is given in Table.
Year 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001
Number 164 142 153 171 171 148 136 133 138 132 145 124
of
Suicides
Use the χ2 test for goodness of fit to test the hypothesis that the number of suicides reported for each year from 1990 to 2001 does not differ significantly from an equal number of suicides in each year. (0.05 significance). Based on this result, what might you conclude about the newspaper report, especially in light of the extra information for 1990 – 2001 that is now available to you? Also comment on any possible errors in your own words in the conclusion.
For α = 0.05 and 11 degrees of freedom, the χ2 value from the table in Appendix is 19.675
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