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 conclusion for this test?

Group of answer choices

The p-value was below .05, therefore we failed to reject the null hypothesis.

The p-value was below .01, therefore we failed to reject the null hypothesis.

Based on a tests statistic that is not in the rejection region for alpha = .01, we failed to reject the null hypothesis.

Based on a p-value less than .01, we would reject the null hypothesis and conclude the rate is now lower than 45.

Answer 1

Let p denotes the true proportion of high school students who tried marijuana.

ans-> iii) Based on a tests statistic that is not in the rejection region for alpha = .01, we failed to reject the null hypothesis.