Essay Questions:

 

1. Test H₀:  8 versus H_A: > 8, given = 0.01, n = 25,    = 8.13 and s = 0.3. Assume the sample is selected from a normally distributed population. 

 

2. Test H₀: π = 0.25 versus H_A: π  0.25 with p = 0.33 and n = 100 at alpha = 0.05 and 0.10.

 

3. Test at α = 0.01 the hypothesis that a majority (more than 50%) of students favor the plus/minus grading system at a university if in a random sample of 500 students, 285 favor the system? 

 

Multiple Choice:

 

4. When carrying out a large sample test of H₀:  10 vs. Ha:  > 10 by using a critical value approach, we reject H₀ at level of significance  when the calculated test statistic is: 
A. Less than z_
B. Less than – z_
C. Greater than z_
D.  Greater than z_/2
E. Less than the p value

 

5.  If you live in California, the decision to buy earthquake insurance is an important one. A survey revealed that only 133 of 337 randomly selected residences in one California county were protected by earthquake insurance. Calculate the appropriate test statistic to test the hypothesis which leads to the alternate hypothesis that less than 40% of the residents are protected by earthquake insurance? 
A. – 0.20
B. 0.40
C. -0.13
D. 0.20
E. -0.40