Question

According to the Center for Disease Control and Prevention, in 2015, about 15% of US adults aged 18 years or older smoked cigarettes. A recent survey of 252 undergraduate students from Texas State University shows that 20 students smoke at least one cigarette per week. Texas State campus became tobacco- free in August 2011. Does the smoking ban actually work? Perform the test of hypothesis using significance level alpha .02

What is the decision and state conclusion in terms of the problem?

Answer 1

Given that, n = 252 and x = 20

sample proportion = 20/252 = 0.0794

The null and alternative hypotheses are,

Test statistic is,

Test statistic = Z = -3.14

p-value =P(Z < -3.14)  = 0.0008

=> p-value = 0.0008

Since, p-value =0.0008 < alpha = 0.02

we reject the null hypothesis (H₀).

There is sufficient evidence to conclude that the smoking ban is actually work.