Question

nerate a Confidence Interval Using the Empirical Rule

Question

In a food questionnaire, a random sample of teenagers were asked whether they like pineapple pizza. The questionnaire resulted in a sample proportion of p′=0.43, with a sampling standard deviation of σp′=0.06, who like this type of pizza.

Write a 99.7% confidence interval for the true proportion of teenagers who like pineapple pizza.

Answer 1

Z critical value is 2.97 for 99.7% confidence level(by using Z table)

Confidence interval formula for sample proportion.

Empirical rule for confidence interval of proportion.

=>(0.2518,0.6082)

Therefore, we are 99.7% confident that, the true proportion of teenagers who like pineapple pizza is between 0.25 to 0.61