It has been postulated that a student is more likely to smoke marijuana if both

Question

It has been postulated that a student is more likely to smoke marijuana if both parents use alcohol and drugs. For a class project (1997), Po Sai Marie Young found data related to this question in Marijuana use in college. This paper reported that among 47 students whose parents use alcohol and drugs, 30 occasionally or regularly smoke marijuana. Test the hypothesis that more than 50 percent of the population of students whose parents use alcohol and drugs smoke marijuana occasionally or regularly. Use the .10 level of significance.

Explanation / Answer

ANSWER: Conclusion: H1 is true (alternate hypothesis > 50% of population smoke marijuana occasionally or regularly) SAMPLE STATISTICS TEST, ONE-TAILED, 6 - Step Procedure The simplest and most commonly used formula for a binomial confidence interval relies on approximating the binomial distribution with a normal distribution. This approximation is justified by the central limit theorem. Step 1: Determine the hypothesis to be test. Lower-Tail H0: µ = µ0 H1: µ < µ0 or Upper-Tail H0: µ = µ0 H1: µ > µ0 hypothesis test (lower or upper): upper Step 2: Determine a planning value for a [level of significance]: 0.1 Step 3: From the sample data determine p, s and n; then compute Standardized Test Statistic: z = (p - P) / s p: sample proportion = 0.638 n:number of individuals in the sample = 47 s: sqrt[ P * ( 1 - P ) / n ] standard deviation of the sampling distribution = 0.073 P: hypothesized value of population proportion in null hypothesis = 0.5 significant digits = 2 Standardized Test Statistic z = ( 0.638 - 0.5 )/( 0.073 ) = 1.89

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