Hypothesis Testing Problems
1) Let’s test at the 8% level the claim that the mean ACT for students attending USA is
less than 18.5. We look at a random sample of 50 USA students in order to determine the
mean ACT score for the whole school. We get a sample mean of 18.0 and a sample
standard deviation of 1.8.
H 0 : _______________
H1 : __________________
n = _______
  __________
 = ____________
x  ________
s = _________
 x  ___________
 x  __________
i
  _________
One-tailed or two-tailed test? ________________
Z x ___________ (test statistic)
p-value:__________________________
Show all important areas, the Test Statistic and the approximate position of x .
Conclusions:_____________________________________________________________
2) We will now test at the 6% level the claim that 24% of USA students will fail statistics
the first time they take it. We look at 400 students and find that 115 failed statistics the
first time. .
H 0 : _______________
H1 : __________________
n = _______
x = _______
p̂ = _____________
q̂ = ____________ p = _______ q = ________
 = _______  2 = __________
One-tailed or two-tailed test? ________________
 p̂  _________
Z p ___________ (test statistic)
p-value: ______________
Show all important areas, the Test Statistic and approximate position of p̂
Conclusions: __________________________________________________