Question

if you constructed one hundred 93% confidence intervals based on one hundred different random samples of size n, how many of the intervals would you expect to include the unknown parameter? assume all model requirements are satisfied.
choose the correct answer below.
a. 50
b. 93
c. 100
d. 7

Explanation:

Step1: Understand the concept of confidence interval

A \(93\%\) confidence interval means that if we construct many confidence intervals (in this case, 100), approximately \(93\%\) of them will contain the unknown parameter.

Step2: Calculate the expected number

The formula is \(n\times p\), where \(n = 100\) (the number of intervals) and \(p=0.93\) (the confidence level). So, \(100\times0.93 = 93\).

Answer:

B. 93