Question

A school administrator is interested in estimating the proportion of students in the district who participate in community service activities. From a random sample of 100 students in the district, the administrator will construct a 99 percent confidence interval for the proportion of all district students who participate in community service activities. Which of the following statements must be true?
1. The population proportion will be in the confidence interval.
2. The probability that the confidence interval will include the population proportion is 0.99.
3. The probability that the confidence interval will include the sample proportion is 0.99.
4. The population proportion and the sample proportion will be equal
5. The probability that the population proportion and the sample proportion will be equal is 0.99.

Answer 1

Answer: option 1

Step-by-step explanation: By constructing a 99% confidence interval for population proportion, it implies that the principal is 99% sure that the confidence interval will contain the population proportion.

When we construct confidence interval, we do so to show that the population parameter that we are looking for is present in the interval at a specified confidence level.