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Helen [10]
3 years ago
6

Q4. A simple random sample of size n=180 is obtained from a population whose size=20,000 and whose population proportion with a

specified characteristic is p=0.45. Determine whether the sampling distribution has an approximate normal distribution. Show your work that supports your conclusions.
Mathematics
1 answer:
IgorLugansk [536]3 years ago
3 0

Answer:

np = 81  , nQ = 99

Step-by-step explanation:

Given:

X - B ( n = 180 , P = 0.45 )

Find:

Sampling distribution has an approximate normal distribution

Computation:

nP & nQ ≥ 5

np = n × p

np = 180 × 0.45

np = 81

nQ = n × (1-p)

nQ = 180 × ( 1 - 0.45 )

nQ = 99

Therefore, sampling\ distribution\ has\ an\ approximately\ normal\ distribution.

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