STATISTICAL TECHNIQUES AND TOOLS
CONFIDENCE INTERVALS
|
Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
|
|
|
Zc
|
|
|
p̂
|
|
|
E
|
|
|
q
|
Detailed explanation-1: -The symbol for a sample proportion is and is read as “p-hat.” The symbol for a population proportion is . The formula for a sample proportion may also be written as p ^ = x n where is the number in the sample with the trait of interest and is the sample size.
Detailed explanation-2: -p′ = x / n where x represents the number of successes and n represents the sample size. The variable p′ is the sample proportion and serves as the point estimate for the true population proportion.
Detailed explanation-3: -The Sampling Distribution of the Sample Proportion, p̂ For a simple random sample of size n with a population proportion p. • The shape of the sampling distribution of p̂ is approximately normal provided np ≥ 10 and n(1 – p) ≥ 10. • The mean of the sampling distribution of p̂ is p̂ = p.