Which of the following statistical distributions are used to find a confidence interval for the population proportion?
A)Student t distribution
B)Standard normal distribution
C)Chi-square distribution
D)None of these choices are correct.

Question

Quizplus · Accepted Answer

The standard normal distribution is used to find a confidence interval for the population proportion when the sample size is sufficiently large (n≥30) and the population standard deviation is unknown. This is because the sample proportion (p̂) approaches a normal distribution with mean (μ) equal to the population proportion (p) and standard deviation (σ) equal to 
sqrt(p(1-p)/n). Using the standard normal distribution, we can compute the z-score corresponding to the desired level of confidence and use it to find the margin of error and construct the confidence interval. The Student t distribution is used when the sample size is small and the population standard deviation is unknown, while the chi-square distribution is used for hypothesis testing and confidence intervals for population variances.

Which of the Following Statistical Distributions Are Used to Find