Question

In each of the following settings, check whether the conditions for calculating a confidence interval for the population proportion p are met.

1. An AP Statistics class at a large high school conducts a survey. They ask the first $100$ students to arrive at school one morning whether or not they slept at least 8 hours the night before. Only 17 students say "Yes."

2. A quality control inspector takes a random sample of 25 bags of potato chips from the thousands of bags filled in an hour. Of the bags selected, 3 had too much salt.

Short answer

No, the condition of the random sample is not satisfied.

Step-by-step solution

Given Information

Number of success (x)$=17$

Number of trials (n)$=100$

Explanation

The sample was picked based on the school's convenience for children who arrive early, and using the basic random sampling technique is one of the conditions for generating the confidence interval for population percentage. As a result, in this circumstance, the criteria of a simple random sample is not met.