# One research study of illegal drug use among 12- to 17-year-olds reported a decrease in use (from 11.4% in 1997) to 9.8% now. Suppose a survey in a large high school reveals that, in a random sample of 1,056students, 96 report using illegal drugs. Use a 0.05 significance level to test the principal's claim that illegal drug use in her school is below the current national average.Formulate the null and alternative hypotheses. Choose the correct answer below.O A. Ho: p=0.098Ha: p>0.098О В. Но: р30.098H: p+0.098ОС. Но: р

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Step 1

Given data

Step 2

Formulation of Hypotheses:

The null hypothesis is proportion of illegal drug use is equal to the current national average.

Hp = 0.098

The alternative hypothesis is proportion of illegal drug use is below to the current national average

H1< 0.098

calculation of the test statistic

Step 3

calculation of p-value

p-value = 0.222109 ≈ 0.2221(From Excel =NORM.S. DIST(-0.76509,TRUE)

Conclusion

p-value > 0.05

Do not reject null hypothesis. There is insuff...

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