Question

Which of the following is not a condition for performing a significance test about an unknown population proportion p?

(a) The data should come from a random sample or randomized experiment.

(b) Individual measurements should be independent of one another.

(c) The population distribution should be approximately Normal, unless the sample size is large.

(d) Both np and n(1 - p) should be at least 10.

(e) If you are sampling without replacement from a finite population, then you should sample no more than 10% of the population.

Short answer

(b) Individual measurements should be independent of one another.

Step-by-step solution

Given information

Significance test about an unknown population proportion p.

The population distribution should be normal unless the sample size is large.

Explanation

The procedure for the significance test is as follows:

State: What hypotheses do you want to test, and at what significance level?

Define any parameters you use.

Plan: Choose the appropriate inference method. Check conditions.

Do: If the conditions are met, perform calculations.

• Compute the test statistic.
• Find the P-value.

Conclude: Interpret the results of your test in the context of the problem.

From the above statement, we conclude that the option b individual measurements should be independent of one another.