Null:μ= 32oz , Alternative: μ= <32oz.
Type I Error: The advocate rejects the hypothesis that the mean is 32 ounces when it is actually 32 ounces.
Type II Error: The advocate fails to reject the hypothesis that the mean is 32 ounces when it is actually less than 32 ounces.
Null:σ=.07psi , Alternative: σ=<.07psi
Type I Error: The quality control manager rejects that the variability is .07psi (so he thinks it is lower than .07) when it is actually .07psi.
Type II Error: The quality control manager fails to reject that the variability has been lowered to below .07psi (so he thinks it is at .07) when in reality is was lowered below .07psi.
Null: μ=54quarts. Alternative: μ>54quarts.
After unleashing an agressive marketing campaign, there is enough evidence to reject the null hypothesis. The mean consumption of popcorn anually by Americans is greater than 54 quarts.
It is a type one error because they must have rejected the null hypothesis when it was in fact true. α=0.05 means that there would be a 0.05 probability of comitting a type I error.
Null: p=0.028 Alternative: p>0.028
There is not enough evidence to conclude that more than 2.8% of students smoke e-cigarretes.
A type II error because the null hypothesis was was not rejected when the alternative hypothesis was true.