According to the Center for Disease Control website, in 2011 more than 18% of high school students have smoked a cigarette. An Introduction to Statistics class in Davies County, KY conducted a hypothesis test at the local high school (a medium sized–approximately 1,200 students–small city demographic) to determine if the local high school’s percentage was lower. One hundred fifty students were chosen at random and surveyed. Of the 150 students surveyed, 82 have smoked. Use a significance level of 0.05 and using appropriate statistical evidence, conduct a hypothesis test and state the conclusions. You will need to specify the appropriate hypothesis, use either the Wilson CI or prop.test in R to test the hypothesis. Please state your conclusion in the given context. For the conclusion, please use the following template. If you reject the null write Since p-value is [write the value of your p-value] and is less than [write the value of alpha in percent] we reject the null hypothesis at [write the value of alpha]% significance level. That is, there is sufficient evidence in the data to reject [write down the null hypothesis in the context of the problem] If you fail to reject the null write Since p-value is [write the value of your p-value] and is greater than [write the value of alpha in percent], we fail to reject the null hypothesis at [write the value of alpha]% significance level. That is, there is not sufficient evidence in the data to reject [write down null in the context of the problem]

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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According to the Center for Disease Control website, in 2011 more than 18% of high school students have smoked a cigarette. An Introduction to Statistics class in Davies County, KY conducted a hypothesis test at the local high school (a medium sized–approximately 1,200 students–small city demographic) to determine if the local high school’s percentage was lower. One hundred fifty students were chosen at random and surveyed. Of the 150 students surveyed, 82 have smoked. Use a significance level of 0.05 and using appropriate statistical evidence, conduct a hypothesis test and state the conclusions.

You will need to specify the appropriate hypothesis, use either the Wilson CI or prop.test in R to test the hypothesis. Please state your conclusion in the given context.

For the conclusion, please use the following template.

If you reject the null write
Since p-value is [write the value of your p-value] and is less than [write the value of alpha in
percent] we reject the null hypothesis at [write the value of alpha]% significance level.
That is, there is sufficient evidence in the data to reject [write down the null hypothesis in the
context of the problem]

If you fail to reject the null write
Since p-value is [write the value of your p-value] and is greater than [write the value of alpha in
percent], we fail to reject the null hypothesis at [write the value of alpha]% significance level.
That is, there is not sufficient evidence in the data to reject [write down null in the context of the
problem]

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