Question

A study compared the drug use of 288 randomly selected high school seniors exposed to a drug education program (DARE) and 335 randomly selected high school seniors who were not exposed to such a program. Data for marijuana use are given in the accompanying table.

	sample size	number who use marijuana
exposed to DARE	288	137
not exposed to DARE	335	181

At the 5% significance level, is there convincing evidence that the proportion using marijuana is lower for students exposed to the DARE program?

Round these answers to two places after the decimal:
Test-statistic =   (to two places after the decimal)

P-value =   (to four places after the decimal)
There  --- is is not sufficient evidence to conclude that the proportion of students using marijuana is lower for students exposed to the DARE program.

Answer 1

Test-statistic = -1.61

P-value

Using the P-value approach: The p-value is p = 0.0537 and since p=0.0537 ≥ 0.05, it is concluded that the null hypothesis is not rejected.

There  is not sufficient evidence to conclude that the proportion of students using marijuana is lower for students exposed to the DARE program.