Which of the following is appropriate to conduct a hypothesis test for the difference between two population proportions under independent sampling.
A) In every case.
B) Only if and .
C) Only if ,and
D) Only if

Question

Which of the following is appropriate to conduct a hypothesis test for the difference between two population proportions under independent sampling.
A) In every case. 
B) Only if and . 
C) Only if ,and 
D) Only if

Quizplus · Accepted Answer

The appropriate conditions for conducting a hypothesis test for the difference between two population proportions under independent sampling are:
1. The samples are independent.
2. Both samples are large enough to ensure that np ≥ 10 and n(1-p) ≥ 10 for both populations.
3. The populations are approximately normal or the sample sizes are large enough for the Central Limit Theorem to apply.
Option C specifies the appropriate conditions for independent sampling, which are met if both sample sizes are large enough and if there are no dependencies between the samples. The other options either do not specify the appropriate conditions or include additional conditions that may not be necessary or sufficient for independent sampling.

Which of the Following Is Appropriate to Conduct a Hypothesis