Answer:
Yes, there is evidence to support that claim that instructor 1 is more effective than instructor 2
Step-by-step explanation:
We can conduct a hypothesis test for the difference of 2 proportions.  If there is no difference in instructor quality, then the difference in proportions will be zero.  That makes the null hypothesis
H0:  p1 - p2 = 0
The question is asking whether instructor 1 is more effective, so if he is, his proportion will be larger than instructor 2, so the difference would result in a positive number.  This makes the alternate hypothesis
Ha:  p1 - p2 > 0
This is a right tailed test (the > or < sign always point to the critical region like an arrowhead)
We will use a significance level of 95% to conduct our test.  This makes the critical values for our test statistic: z > 1.645.  
If our test statistic falls in this region, we will reject the null hypothesis.
<u>See the attached photo for the hypothesis test and conclusion</u>
 
        
             
        
        
        
Answer:
#6 would be 15/7
#7 would be 4/90
#8 would be 17/12
i can't see number 9
#11 would be 65/15 or 4.3333333
31 + 34
Step-by-step explanation:
 
        
                    
             
        
        
        
Ok so look for the change between x and y.
        
                    
             
        
        
        
Answer: y = -1/2
Step-by-step explanation:
Subtract both sides by 7/8
 y = 3/8 - 7/8
Then combine like terms
 y = -4/8
Then simplify
 y = -1/2