Adult-onset diabetes is known to be highly genetically

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QUESTION:

Adult-onset  diabetes  is  known  to  be  highly  genetically  determined.  A  study was  done  comparing  frequencies  of  a  particular  allele  in  a  sample  of  such diabetics  and  a  sample  of  nondiabetics.  The  data  are  shown  in  the  following table:

                                               

Are the relative frequencies of the alleles significantly different in the two groups?

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QUESTION:

Adult-onset  diabetes  is  known  to  be  highly  genetically  determined.  A  study was  done  comparing  frequencies  of  a  particular  allele  in  a  sample  of  such diabetics  and  a  sample  of  nondiabetics.  The  data  are  shown  in  the  following table:

                                               

Are the relative frequencies of the alleles significantly different in the two groups?

ANSWER:

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Adult-onset diabetes is known to be highly genetically determined. A study compared frequencies of a particular allele in a sample of such diabetics and a sample of non-diabetics. The data are shown in the following table:

Ho: The null hypothesis states that the ALLELE frequencies in diabetics and non-diabetics are the same.

Test statistics:

The test statistics under Ho is,

                                                 

Where,

= Observed frequencies.

= Expected frequencies.

I = Number of rows.

J = Number of columns.

The table for the observed frequencies can be drawn as follows:

                                                     

Expected frequencies can be calculated as:

                                                           

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