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I know Z test is applied for Test concerning two proportions.

Let there be two treatments with population proportions p1 and p2 and sample sizes of n1 and n2 respectively. Samples associated with a certain event are x1 and x2 with the respective proportions.

But I applied over the whole population i.e. n1=n2=n.

Will this test be valid then?enter image description here

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1 Answers1

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No. There are validity conditions to conduct a test of two proportions.

  • The sampling method for each population is simple random sampling.

  • The samples are independent.

  • Each sample includes at least 10 successes and 10 failures.

  • Each population is at least 20 times as big as its sample.

The first and fourth bullet points fail.

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