Confidence Intervals for Population Proportions: A Guide
School
Tacoma Community College**We aren't endorsed by this school
Course
MATH 146
Subject
Economics
Date
Dec 10, 2024
Pages
2
Uploaded by MinisterHeatElk48
Guided Notes Section 8.2: One-Sample Interval for the ProportionWe will use the acronym PANIC to help us remember the steps for a Confidence Interval.Write the steps below to estimate a population proportion, .P:A:N:I:C:NOTE: Your calculator will give you the sample statistic and the confidence interval but it does NOT give you the margin of error. If you need the margin of error, use the fact that the sample statistic is in the middle of the interval, and subtract the sample statistic from the upper end of the interval.For example: if we are given the interval (17.2, 19.4) and we know the sample statistic ^p=18.3(notice this is the average of the 2 endpoints of the interval!), we can find the margin of error E by taking 19.4-18.3 = 1.1. 17.2 =18.3 19.4(---------------------------*---------------------------)1.11.1
EX 8.2.1A researcher studying the effects of income levels on breastfeeding of infants hypothesizes thatcountries where the income level is lower have a higher rate of infant breastfeeding than higher income countries. It is known that in Germany, considered a high-income country by the World Bank, 22% of all babies are breastfeed. In Tajikistan, considered a low-income country by the World Bank, researchers found that in a random sample of 500 new mothers that 125 were breastfeeding their infants. Find a 90% confidence interval of the proportion of all mothers in Tajikistan who breastfeed their infants?1.State the random variable and the Parameter in words.2.State and check the Assumptions3.Name the procedure used.4.Find the point estimate and the confidence Interval5.Conclusion in context: WARNING: When using your calculator, be sure you enter # of successes, NOT . If the problem gives you , you’ll need to find the number of successes: