lf the null hypothesis is rejected when the null hypothesis
     lf the null hypothesis is rejected when the null hypothesis is true, What type of error, if any, has been made?  If the null hypothesis is not reject when the null hypothesis is in error, what type of error, if any, has been made?  The level of significance, alpha is the probability of making what?  Find the critical value of a two-tailed test with alpha = 0.01.  Determine the critical values for a two-tailed test of a population mean at the alpha = .05 level of significance based on a sample size of n = 18.  According to the nation center for health statistics (2004), 22.4% of adults are smokers. A random sample of 300 adults is obtained.  Describe the sampling distribution of p, the sample proportion of adults who smoke.  In a random sample of 300 adults, what is the probability that at least 50 are smokers?  Would it be unusual if a random sample of 300 adults results in 18 % or less being smokers. 
  
  Solution
10) type I error
11) type II error
12) commit type I error
13)
alpha/2 = 0.005
critical values : +/- 2.57
14)
alpha 0 0.05 alpha/2= 0.025
df=17
crtical values : +/-2.110

