33. According to a study conducted in the United States in 2000, 13.6% of all Americans 18-25 years old used marijuana or hashish. In 2007, a random sample of 1,283 Americans of the same age group was interviewed, out of which 205 said that they used these drugs. At the 5% significance level, test whether the data provide sufficient evidence to conclude that the proportion of Americans 18-25 years old that used marijuana and hashish in 2007 had changed since the study of 2000.
A) H0: p = 0.136; HA: p ≠ 0.136; z = 2.49; P-value = 0.9872. There is not enough evidence to conclude that the proportion of Americans 18-25 years old that used marijuana and hashish in 2007 had changed since the study of 2000.
B) H0: p = 0.136; HA: p ≠ 0.136; z = 2.49; P-value = 0.0128. There is sufficient evidence to conclude that the proportion of Americans 18-25 years old that used marijuana and hashish in 2007 had changed since the study of 2000.
C) H0: p = 0.136; HA: p ≠ 0.136; z = 2.49; P-value = 0.0064. There is sufficient evidence to conclude that the proportion of Americans 18-25 years old that used marijuana and hashish in 2007 had changed since the study of 2000.
D) H0: p = 0.136; HA: p > 0.136; z = 2.49; P-value = 0.0064. There is sufficient evidence to conclude that the proportion of Americans 18-25 years old that used marijuana and hashish in 2007 had changed since the study of 2000.
E) H0: p = 0.136; HA: p ≠ 0.136; z = 2.33; P-value = 0.0198. There is sufficient evidence to conclude that the proportion of Americans 18-25 years old that used marijuana and hashish in 2007 had changed since the study of 2000.