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Consider a hypothetical situation,

enter image description here

due to a new teaching method being implemented, I want to test whether there is a significant difference in the proportion of students that have passed a particular exam between two batches.

I could use the 2 proportion z test.

Are there any other tests I could use to compare two different proportions from independent samples (even if they don't apply particular case study)?

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  • $\begingroup$ which othet tests impeach your mind ? $\endgroup$ May 17 '17 at 9:30
  • $\begingroup$ @subhashc.davar i came accross a few other tests but not sure if they are applicable ------- ncss.com/wp-content/themes/ncss/pdf/Procedures/PASS/… . The other tests seem to to be estimating the proportion parameter using MLE which is a bit confusing. $\endgroup$ May 17 '17 at 10:11
  • $\begingroup$ Do you only have the data shown here or do you have also more fine grained data like the marks or similar? $\endgroup$
    – Mayou36
    May 17 '17 at 10:33
  • $\begingroup$ @Mayou36 nope just this data $\endgroup$ May 17 '17 at 10:49
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You can use z-test for a testt of difference between two proportions representing two independent samples. The sample sizes of independent samples are large enough to meet the assumption of normal distribution.

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  • $\begingroup$ for comparison of two means, we use CLT to show that as n increases irrespective of the prior distibution the mean tends to normal distribution and hence to form the statistic we convert it to standard normal. $\endgroup$ May 17 '17 at 10:56
  • $\begingroup$ For comparison of proportions what is our assumption that the proportion follows normal as n increases ? $\endgroup$ May 17 '17 at 10:56
  • $\begingroup$ would you prefer to give a formula or definition of standard normal? $\endgroup$ May 17 '17 at 15:40
  • $\begingroup$ i dont know if that will help. conceputally im a little confused $\endgroup$ May 22 '17 at 13:15

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