Question

Could you please explain how you would find(estimate, not calculate) the 95% confidence interval for a set of categorical data. example: 30 students pick what their favorite food is

pizza=13

hamburgers=7

fries=5

icecream=5

Answer 1

Procedure for finding the 95% confidence interval for a set of categorical data. example: 30 students pick what their favorite food is as follows:

The research question in this situation is:

(i)

To find the 95% confidence interval for favorite food as pizza :

n = Sample Size = 30

= Sample Proportion = 13/30 = 0.433

Confidence Interval:

(ii)

(i)

To find the 95% confidence interval for favorite food as hamburgers :

n = Sample Size = 30

= Sample Proportion = 7/30 = 0.233

Confidence Interval:

(iii)

To find the 95% confidence interval for favorite food as ice cream:

n = Sample Size = 30

= Sample Proportion = 5/30 = 0.167

Confidence Interval: