Question

A 95% confidence interval for the proportion of all teenagers who have heard stories from their parents or grandparents about how difficult life was when they were kids is (0.328, 0.472). Explain how the confidence interval is consistent with, but gives more information than, the test.

Answer 1

The information given by the confidence interval is more accurate than

the information obtained from the test.

Response:

• The confidence interval states that the proportion of teenagers is expected to be less than 50%, and it also states that the range of values of the proportion of the teenagers.

Which properties can be used to evaluate the confidence interval and the test?

From a similar question, posted online, the percentage of teenagers who

have heard stories from their parents. and grand parents = 40%

The test is if the proportion of teenagers differs from 0.5, which is 50%

Given that the p-value is lesser than the alpha value, reject the null

hypothesis, which indicates that the proportion differs from 0.5.

The information from the test is consistent with the confidence interval

which is (0.328, 0.472)

However, the information from the confidence interval also gives the

expected lowest and highest proportion of 95% of the teenagers, which

is more than the information given by the test.

Learn more about confidence interval here:

https://brainly.com/question/2396062