the registrar of a college examined the grade point averages of different categories of students. the results showed that the probability of a meaningful difference between men and women was .27. using the most common standard, is this a statistically significant difference?



Answer :

The difference of 0.27 is not statistically significant.

A statistically significant difference indicates if the responses of one group differ significantly from those of another when using statistical testing.

  • The statistically significant differences between the numbers really aid in your data analysis. It is up to you how to interpret or act on your results, therefore you should also think about if they are significant.
  • Let's imagine, for instance, that you get more consumer complaints from women than from men. How do you know that this is a genuine issue that has to be addressed?
  • To find out if your male consumers are significantly more satisfied with your goods, doing a poll is a terrific technique.
  • Our statistical significance tool can assist you in determining whether males are considerably more satisfied with your goods than women using a statistical formula. This enables you to base decisions on facts rather than anecdotes.

Now we know that any data of t-statistic that is greater than 1.96 is statistically significant.

Now the difference is 0.27. Hence it is not statistically significant.

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