cdavis379

18.03.2021 • 

Mathematics

2. According to the CDC, 27.5% of high school students reported in 2019 that they used electronic cigarettes in the past 30 days. To test this claim, a simple random sample of 150 students is taken and 27 students report that they used an electronic cigarette in the past 30 days. A) Construct a 98% confidence interval for the proportion of high school students who have recently used an e-cigarette. B) Does the interval in part (a) give you reason to suspect that the CDC's claim is not correct? i) State appropriate hypotheses and the correct corresponding significance level. ii) State and explain your conclusion based on your interval. c) Suppose you wanted your margin of error to a third of what you found in part (a), but still wanted a 98% confidence interval. How many students would you need to sample?

Ответ:

pantojaiv90

08.04.2023

Mathematics

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51 and 42

Step-by-step explanation:

Use

x + y = 93

x - y = 9

Add those two equations together and you get 2x = 102

*y is not in the equation anymore because y + -y = 0*

Divide both sides by 2

x = 51

plug x into one of the equations; let's use x + y = 93

Then you get, 51 + y = 93

Subtract both sides by 51 and you get y = 42

Plug both in the other equation to make sure the numbers work.

51 + 42 = 93; true

51 - 42 = 9; true

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