<h2>
Answer with explanation:</h2>
Given : In a restaurant, the proportion of people who order coffee with their dinner is p.
Sample size : n= 144
x= 120

The null and the alternative hypotheses if you want to test if p is greater than or equal to 0.85 will be :-
Null hypothesis :  [ it takes equality (=, ≤, ≥) ]
   [ it takes equality (=, ≤, ≥) ]
Alternative hypothesis :  [its exactly opposite of null hypothesis]
  [its exactly opposite of null hypothesis]
∵Alternative hypothesis is left tailed, so the test is a left tailed test.
Test statistic : 
 
Using z-vale table , 
Critical value for 0.05 significance ( left-tailed test)=-1.645
Since the calculated value of test statistic is greater than the critical value , so we failed to reject the null hypothesis.
Conclusion : We have enough evidence to support the claim that p is greater than or equal to 0.85.
 
        
        
        
Answer:
∠1=160° and ∠2=20°
Step-by-step explanation:
Let ∠1 = x 
∠2 = y
as these two angles are supplementary their sum is 180
that x+y=180   ----(A) 
Also given that ∠1 is 20 degree less than nine times the size of ∠2.
Hence
x=9y-20
putting value of x in A and solving for y 
9y-20+y=180
10y=180+20
10y=200
y=10
Putting this y in A
x+10=180
x=160
 
        
             
        
        
        
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