For each example below you would start to construct a confidence interval by ide

Question

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 = 48 and there are 3 successes in your sample leading to a sample proportion of 0.063

z-distribution

t-distribution    

neither distribution

(b) a confidence interval for a population proportion where n = 61 and there are 37 successes in your sample leading to a sample proportion of 0.607

z-distribution

t-distribution    

neither distribution

Explanation / Answer

Solution :

a) To find the margin of error for a population proportion ,

n = 48 and phat = 0.063

So we use z distribution to find margin of error but here confidence level is not given .

b) n = 61 and phat = 0.607

So we use z distribution to find margin of error but here confidence level is not given .

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