- Check the conditions for creating a confidence interval for population proportion.
- Describe the connection between the confidence level and the confidence interval.
- Calculate a confidence interval for a population proportion.
All-nighters
College students lacking sleep is often no surprise, but it is quickly becoming an epidemic. From studying to partying, a lack of sleep seems like an inevitable part of the college experience. But, how common is it really? What are the stats?
Sleep is one of those basic things we need to survive. Lack of sleep adversely affects your mood, appetite, recall, concentration, and even reaction time. College students risk losing sleep in an attempt to make grades. Good sleep and good academic performance are intertwined. Adequate sleep is crucial for students to be healthy and successful. Sleep deprivation can affect memory, academic performance, physical health, and mental health.[1] College students often lack sleep, and some occasionally resort to pulling all-nighters.
In order to create a confidence interval for proportions, we need to verify that the sampling distribution of the sample proportions is approximately normal. The following conditions must be satisfied:
- Random samples: The observations represent a random sample of the population.
- The sample is less than [latex]10\%[/latex] of the population.
- Sample size: The sample is large enough that [latex]n\hat{p}\geq 10[/latex] and [latex]n(1 − \hat{p}) \geq 10[/latex].
- Bullock, L. (2021, March 19). College student sleep statistics. Mattress Advisor. https://www.mattressadvisor.com/college-sleep-statistics/ ↵