Question

The maker of a cell phone screen protector would like to estimate the proportion of customers who file a warranty claim. To do so, they select a random sample of 200 customers and determine that the 96% confidence interval for the true proportion of customers who file a warranty claim to be 0. 15 to 0. 28. Which of these statements is a correct interpretation of the confidence level?
Approximately 96% of customers file a warranty claim.


The cell phone screen protector maker can be 96% confident that the interval from 0. 15 to 0. 28 captures true proportion of customers who file a warranty claim.


If many random samples of size 200 are selected from the population of all customers, approximately 96% of the sample proportions of customers who file a warranty claim will be between 0. 15 and 0. 28.


If many random samples of size 200 are selected from the population of all customers, about 96% of the intervals constructed from the samples would capture the true proportion of customers who file a warranty claim

Answer 1

According to the interpretation of the confidence interval, the correct statement is:

The cell phone screen protector maker can be 96% confident that the interval from 0.15 to 0.28 captures true proportion of customers who file a warranty claim.

What is the interpretation of a x% confidence interval?

It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.

In this problem, we have a 96% confidence interval between 0.15 and 0.28, hence we are 96% confident that the population proportion is between these values, and the correct option is:

The cell phone screen protector maker can be 96% confident that the interval from 0.15 to 0.28 captures true proportion of customers who file a warranty claim.

More can be learned about confidence intervals at brainly.com/question/25890103