Question

According to the National Institute on Alcohol Abuse and Alcohol (IAA) and the National Institutes of Health (NIH), 41% of college students nationwide enge in 'binge-wing behavior having five or more drinks on one occasion during the past two weeks. A college president wonder the proportion of students enrolled other college who ingedruk is actually lower than the national proportion. In a commissioned study. 250 wudents are selected randomly from a stof all students ered at the college of the 134 admit to having engaged in binge drinking The college president is more interested in testing her belief that the proportion of Hudents at her college who engage in binge drinking is lower than the nation proportion of 0.41. Her sal best the hypotheses Mal - 0.41 versus 40.41. What is the p e (Use Powe r Round your answer to four decimal places)

Answer 1

Test statistic,
z = (pcap - p)/sqrt(p*(1-p)/n)
z = (0.382857142857143 - 0.41)/sqrt(0.41*(1-0.41)/350)
z = -1.03

P-value Approach
P-value = 0.1515