Question

Large Sample Proportion Problem. A survey was conducted on high school marijuana use. Of the 2266 high school students surveyed, 970 admitted to smoking marijuana at least once. A study done 10 years earlier estimated that 45% of the students had tried marijuana. We want to conduct a hypothesis test to see if the true proportion of high school students who tried marijuana is now less than 45%. Use alpha = .01. What is the critical value for this test? 0 -2.576 0 -2.33 0 -1.96 0 2.33

Answer 1

Solution :

This is the left tailed test .

$\alpha$ = 0.01

Using z ,

Z_$\alpha$ = Z _0.01 = -2.33

Critical value = -2.33