Question

A one-sample z-test for a population proportion p will be conducted. Which of the following conditions checks that the sampling distribution of the sample proportion is approximately normal?

1. The sample is selected at random.
2. np0≥10 and n(1−p0)≥10 for sample size n.
3. The sample size is less than or equal to 10 percent of the population size.

• I only

  A

• II only

  B

• III only

  C

• I and II only

  D

• I, II, and III

Answer 1

Answer)

Three important conditions of normality are

Npo and n*(1-po) both should be greater than or equal to 10

And sample size should be less than the 10% of the population

So all are required conditions