Q1 In testing the hypotheses H0 800 vs H1 800 if the value

Q1) In testing the hypotheses H0: = 800 vs. H1: 800, if the value of the test statistic equals 1.75, then the p-value is:
   a. 0.4599   
   b. 0.0802   
   c. 0.0401   
   d. 0.9599   

Q2) The critical values z or z / 2 are the boundary values for:
   a. Type I error.   
   b. Type II error.   
   c. the rejection region(s).   
   d. the level of significance.   

Q3) Using a confidence interval when conducting a two-tail test for , we do not reject H0 if the hypothesized value for :
   a. is to the left of the lower confidence limit (LCL).   
   b. falls between the LCL and UCL.   
   c. is to the right of the upper confidence limit (UCL).   
   d. falls in the rejection region.   

Q4) In a two-tail test for the population mean, the null hypothesis will be rejected at level of significance if the value of the standardized test statistic z is such that:
   a. z > z   
   b. | z | > z / 2   
   c. z < -z   
   d. -z < z < z   

Solution

1) (b)this is an 2 tailed test.

p(z< -1.75)= 0.0401 and p(z> 1.75) =  0.0401 then p-value=2*  0.0401 = 0.0802

2) (c)the rejection region

3)(b) falls between lcl and ucl

4)(d)  | z | > z / 2