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23 Nov 2021

Given information

Instructions: For the following ten exercises,
Hypothesis testing: For the following ten exercises, answer each question.
 State the null and alternate hypotheses.
 State the p-value.
. State alpha.
. What is your decision?
 Write a conclusion.
 Answer any other questions asked in the problem.
According to the Center for Disease Control website, in  at least  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  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  students surveyed,  have smoked. Use a significance level of  and using appropriate statistical evidence, conduct a hypothesis test and state the conclusions.

Step-by-step explanation

Step 1.

We are given to use a left-tailed test. That’s why the alternative hypothesis has sign. Reject the null hypothesis if  

and .

The following formula is used,

 

  

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