Are teenagers going deaf? In a study of 3000 randomly selected teenagers in 1988-1994, 15% showed some hearing loss. In a similar study of 1800 teenagers in 2005-2006, 19.5% showed some hearing loss. We want to perform a significance test to determine whether these data give convincing evidence that the proportion of all teens with hearing loss has either increased or decreased. State the hypotheses we are interest in testing. Define any parameters you use.

. Single choice.

(6.5 Points)

H0: p2 - p1=0 and Ha: p2 - p1 < 0, where p1 = the proportion of all teenagers with hearing loss in 1988 - 1994 and p2 = the proportion of all teenagers with hearing loss in 2005 - 2006.

H0: p1 - p2=0 and Ha: p1 - p2 0, where p1 = the proportion of all teenagers with hearing loss in 1988 - 1994 and p2 = the proportion of all teenagers with hearing loss in 2005 - 2006.

H0: p1 - p2=0 and Ha: p1 - p2 > 0, where p1 = the proportion of all teenagers with hearing loss in 1988 - 1994 and p2 = the proportion of all teenagers with hearing loss in 2005 - 2006.

H0: p1 - p2=0 and Ha: p1 - p2 < 0, where p1 = the proportion of all teenagers with hearing loss in 2005 - 2006 and p2 = the proportion of all teenagers with hearing loss in 1988 - 1994.

H0: p1 - p2=3000 and Ha: p1 - p2 0, where p1 = the proportion of all teenagers with hearing loss in 1988 - 1994 and p2 = the proportion of all teenagers with hearing loss in 2005 - 2006.