Question

An article 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.

	n	Number Who Use Marijuana
Exposed to DARE	288	142
Not Exposed to DARE	335	177

Is there evidence that the proportion using marijuana is lower for students exposed to the DARE program? Use α = 0.05.(Use p_DARE − p_{No DARE}. Round your test statistic to two decimal places and your P-value to four decimal places.)

z=

P-value=

State your conclusion.

We reject H₀. We do not have convincing evidence that the proportion of students using marijuana is lower for students exposed to the DARE program than for students not exposed to the program.

We fail to reject H₀. We have convincing evidence that the proportion of students using marijuana is lower for students exposed to the DARE program than for students not exposed to the program.    

We reject H₀. We have convincing evidence that the proportion of students using marijuana is lower for students exposed to the DARE program than for students not exposed to the program.

We fail to reject H₀. We do not have convincing evidence that the proportion of students using marijuana is lower for students exposed to the DARE program than for students not exposed to the program.

Answer 1