Answer :
All requirements must be met for a two proportion significance test. Since all three conditions have been met, ans is true (I, II and III). Option (e).
The following presumptions were satisfied for the two proportion significance test: The populaces are autonomous. (Populations are separate from one another.) For each population, the sample size multiplied by the success probability is larger than or equal to ten, and the sample size multiplied by the failure probabilities is also greater than or equal to ten. (We examine this criteria for normalcy; if it is met, we claim that the data is approximately normally distributed.)
Each sample is taken at random. (Sample must be chosen at random, otherwise bias is possible). To ascertain whether two proportions differ from one another, a two-proportion Z-test is a statistical hypothesis test. Z-statistics are generated during the test from two independent samples, with the null hypothesis being that the two proportions are equal.
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Correct Question:
Which of the following conditions must be met to conduct a two-proportion significance test?
The populations are independent.
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.
Each sample is a simple random sample.
a). I only
b). II only
c). III only
d). I and II only
e). I, II, and III
