When to Use What: For each example below you would start to construct a confiden

Question

When to Use What: For each example below you would start to construct a confidence interval by identifying which distribution should be used to find the margin of error. It is possible that you won't be able to use either distribution. (a) a confidence interval for a population proportion where n = 60 and there are 4 successes in your sample leading to a sample proportion of 0.067 o z-distribution O t-distribution O neither distribution (b) a confidence interval for a population proportion where n = 33 and there are 20 successes in your sample leading to a sample proportion of 0.606 O z-distribution o t-distribution O neither distribution

Explanation / Answer

a) z-distribution should be used to find the margin of error. Because sample size is high and rate of success is very small .

b) neither distribution should be used to find the margin of error. Because sample size average and rate of success high and proportion of sample is also high.Here we can use Binomial distribution .

note:general thumb rule is to use t-distribution is that sample size should be less than 30.

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