Candice wants to estimate the proportion of the freshmen at her high school that likes sports drinks. She interviews a simple random sample of 75 of the
215 freshmen on campus. She finds that 18 students like sports drinks. Is the Normal condition for finding confidence intervals met? Explain.
- Yes, the Normal condition for finding confidence intervals is met because no = 18 and n(1-P) = 57, both of which are greater than 10.
- Yes, the Normal condition for finding confidence intervals is met because the sample size is greater than 30.
- No, the Normal condition for finding confidence intervals is not met because np = 18 and n(1-P) = 57, both of which are less than 100.
- No, the Normal condition for finding confidence intervals is not met because the sample is not at least 50% of the population.
- Yes, the Normal condition for finding confidence intervals is met because the sample is a simple random sample.