Question

You are conducting a poll in order to determine if the proportion of people planning to vote third party is greater than 0.03.  When you go to perform your hypothesis test, you realize that your sample size is not large enough to meet the assumption.  What should you do?

	a.	Don’t do the hypothesis test at all.  You need to collect another sample as there is no way to adjust for the violated assumption.
	b.	Do a two-sided test, since this is robust.
	c.	Continue with the hypothesis test as planned.
	d.	Add 2 successes and 2 failures, then continue with the hypothesis test as planned.

Answer 1

CORRECT OPTION(A)

Don’t do the hypothesis test at all.You need to collect another sample as there is no way to adjust for the violated assumption.

EXPLANATION

Normality assumption is very important, it can't be violated. So I recommend don't do any hypothesis test now. Because the test may be invalid. If possible you could collect another sample with adequate sample size. Remember your sample must contain atleast 10 success and 10 failures. If you can collect more than 30 sample , then Central Limit Theorem kicks in and now you can conduct a Single sample Proportional Hypothesis test

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