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Test 3 Question 4
Test 3
4. Suppose a simple random sample of size n=150 is obtained from a population whose size is N=15,000 and whose population proportion with a specified characteristic is p=0.4. Complete parts (a) through (c) below.
(a) Describe the sampling distribution of .
Choose the phrase that best describes the shape of the sampling distribution below.
- Not normal because n≤0.05N and np(1−p)<10.
- Not normal because n≤0.05N and np(1−p)≥10.
- Approximately normal because n≤0.05N and np(1−p)≥10.
- Approximately normal because n≤0.05N and np(1−p)<10.
Determine the mean of the sampling distribution of .
(b) What is the probability of obtaining x or more individuals with the characteristic? That is, what is P()?
(c) What is the probability of obtaining x or fewer individuals with the characteristic? That is, what is P()?