Use the information in the following setting to answerquestions 26 through 28: T

ID: 2952850 • Letter: U

Question

Use the information in the following setting to answerquestions 26 through 28:

The National Survey on Drug Use and Health (NSDUH) seriesprimarily measures the

prevalence and correlates of drug use in the United States.The surveys are designed to

provide estimates on the use of illicit drugs, alcohol, andtobacco among members of

United States households aged 12 and older. The survey alsoincludes questions

concerning treatment for both substance abuse and mentalhealth related disorders. In

addition, numerous demographic variables like, gender, age,race, etc are recorded.

This is a legitimate statistical survey. This means thatvalid inferences for the US

population may be drawn from the results of thissurvey.

In the 2007 survey 1093 out of 11,559 respondents aged 12to 15 years old indicated

that they had tried marijuana. Investigators would like toestimate the true proportion for

the population of 12 to 15 year olds in the US that havetried marijuana. To do this they

will construct a 95% confidence interval for thisparameter.

26) The point estimate for the true proportion of 12 to 15year olds in the US that have

tried marijuana is:

27) The 95% CI for the true proportion for the populationof 12 to 15 year olds in the US

that have tried marijuana is:

28) The English interpretation for the interval youcomputed in Problem 10 is:

Use the information in the following setting to answerquestions 29-33:

In 1995, according to this same survey, 7% of theadolescents in this age group had

tried marijuana (assume that this is the true parametervalue). Let a = 0.025. Dothese

results provide enough evidence to conclude that theproportion of kids in this age group

that have experimented with the drug has changed since1995?

29) Ho:

Ha:

30) ztest =

31) The p-value is:

32) The statistical decision is:

33) TheEnglish interpretation is:

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