Question

Which of the following conditions must be met to conduct a two-proportion significance test?

1. The populations are independent.
2. The probabilities of success multiplied by the sample sizes are greater than or equal to 10 and the probabilities of failure multiplied by the sample sizes are greater than or equal to 10 for each population.
3. Each sample is a simple random sample.

		I only
		II only
		III only
		I and II only
		I, II, and III

Answer 1

For two proportion significance test the following assumptions satisfied :

1. The populations are independent.(Populations are independent of each other)
2. The probabilities of success multiplied by the sample sizes are greater than or equal to 10 and the probabilities of failure multiplied by the sample sizes are greater than or equal to 10 for each population.(This condition we check for the normality, if this condition is satisfied then we say that data is approximately normally distributed.)
3. Each sample is a simple random sample.(Sample must be selected randomly, otherwise their is chance of bias)

For two proportion significance test all of the conditions must be satisfied.

Therefore ans is "All three conditions satisfied"

I, II and III

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