Consider making an inference about p1p2 , where there are x1 successes in n1bino
ID: 3330025 • Letter: C
Question
Consider making an inference about p1p2 , where there are x1 successes in n1binomial trials and x2
successes in n2 binomial trials.
a.
Describe the distributions of
x1and x2.
b.
Explain why the Central Limit Theorem is important in finding an approximate distribution for (p1p2).
a. Choose the correct distributions below.
x1 has a
A- Poisson
B- normal
C- binomial
distribution and x2
has a
A- Poisson
B- normal
C- binomial
distribution
b. Choose the correct explanation below
A.
The sampling distribution of (p1p2) is skewed for large samples.
B.
The sampling distribution of (p1p2) is approximately normal for large samples.
C.
The sampling distribution of (p1p2) remains the same for large samples.
a.
Describe the distributions of
x1and x2.
b.
Explain why the Central Limit Theorem is important in finding an approximate distribution for (p1p2).
Explanation / Answer
(a) Correct option:
C - Binomial Distribution
(b) Correct option:
C - Binomial Distribution
(c) Correct option:
B. The sampling distribution of (p1 - p2) is approximately normal for large samples
EXPPLANATION:
By Central Limit Theorem, sampling distribution of (p1 - p2) will tend to normal distribution as the sample size n increases.
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