Question 1) A random sample of 10 nursing student were given anxiety test. The higher score means more anxious. Test if the median score for the population sample for anxiety is 50 at alpha .05. (Use Sign test).  The following is the result of test: 

a. What is the hypothesis testing for this test? 

1. H0: The population median is 50 H1: the population median is not 50

2. H0: The population median is 50 H1: the population median is > 50

3. H0: The population median is 50 H1: the population median is < 50

b. What is the P value for sign test for this problem? 

1. .0105

2. .0391

3. .0192

4. .0739

c. What is your conclusion based on the P-value of the sign test?

1. Since P value (.0391) is less than alpha (.05) we reject null and conclude alternative the population median is not 50.  

2. Since P value (.0391)  is less than alpha (.05) we fail to reject null and cannot conclude alternative the population median is not 50. 

d. What type of parametric test you can use for this problem if you have larger sample?

1. One sample proportion

2. One sample Variance

3. One sample T-test