A recent poll of 25002500 randomly selected 18-25-year-olds revealed that 290290 currently use marijuana or hashish. According to a publication, 12.712.7 % of 18-25-year-olds were current users of marijuana or hashish in 1997. Do the data provide sufficient evidence to conclude that the percentage of 18-25-year-olds who currently use marijuana or hashish has changed from the 1997 percentage of 12.712.7%? Use α=0.05α=0.05 significance level. test statistic z=z= Recall the zz value that marks the start of the rejection region is the critical zz score; if you're lower tailed, it's the zz value that has left area of αα; if you're right tailed, it's the zz value whose area to the right is αα; if you're two-tailed, they're the values of the ±z±z value that −z−z has left area of α2α2 and zz has a right are of α2α2 ... note the divided by 2 part!! positive critical zz score negative critical zz score The final conclusion is A. There is not sufficient evidence to conclude that the percentage of 18-25-year-olds who currently use marijuana or hashish has changed from the 1997 percentage of 12.712.7%. B. There is sufficient evidence to conclude that the percentage of 18-25-year-olds who currently use marijuana or hashish has changed from the 1997 percentage of 12.712.7%.
A recent poll of 25002500 randomly selected 18-25-year-olds revealed that 290290 currently use marijuana or hashish. According to a publication, 12.712.7 % of 18-25-year-olds were current users of marijuana or hashish in 1997. Do the data provide sufficient evidence to conclude that the percentage of 18-25-year-olds who currently use marijuana or hashish has changed from the 1997 percentage of 12.712.7%? Use α=0.05α=0.05 significance level.
test statistic z=z=
Recall the zz value that marks the start of the rejection region is the critical zz score; if you're lower tailed, it's the zz value that has left area of αα; if you're right tailed, it's the zz value whose area to the right is αα; if you're two-tailed, they're the values of the ±z±z value that −z−z has left area of α2α2 and zz has a right are of α2α2 ... note the divided by 2 part!!
positive critical zz score
negative critical zz score
The final conclusion is
A. There is not sufficient evidence to conclude that the percentage of 18-25-year-olds who currently use marijuana or hashish has changed from the 1997 percentage of 12.712.7%.
B. There is sufficient evidence to conclude that the percentage of 18-25-year-olds who currently use marijuana or hashish has changed from the 1997 percentage of 12.712.7%.
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