From a july 2019 survey of 1186 randomly selected americans ages 18-29, it was discovered that 248 of them vaped (used an e-cigarette) in the past week.
calculate the sample proportion of americans ages 18-29 who vaped in the past week. round this value to four decimal places.
write one sentence each to check the three conditions of the central limit theorem. show your work for the mathematical check needed to show a large sample size was taken.
using the sample proportion obtained in (a), construct a 90% confidence interval to estimate the population proportion of americans age 18-29 who vaped in the past week. do this "by hand" using the formula and showing your work ( type your work, no images accepted here). round your confidence limits to four decimal places.
verify your result from part (c) using stat à proportions stats à one sample à with summary. inside the box, enter the number of successes, the number of observations, and select confidence interval and click compute! copy and paste your statcrunch result in your document.
interpret the statcrunch confidence interval in part (d) in one sentence using the context of the question.
use the confidence interval applet (for a proportion) in statcrunch to simulate constructing one thousand 90% confidence intervals assuming the proportion americans ages 18-29 vaping in the past week in the population is p = 0.22 and the sample size n = 1186. once the window is open, click reset and select (or click) 1000 intervals. copy and paste your image into your document.
compare the "prop. contained" value from part (f) to the confidence level associated with the simulation in one sentence.
write a long-run interpretation for your confidence interval method in context in one sentence.

4 packs of water and 7 packs of candy bars

step-by-step explanation:

35x4=140

140/20=7

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.