"Critical region" redirects here. For the computer science notion of a "critical section", sometimes called a "critical region", see critical section.
A statistical hypothesis is a hypothesis that is testable on the basis of observing a process that is modeled via a set of random variables.[1] A statistical hypothesis test is a method of statistical inference. Commonly, two statistical data sets are compared, or a data set obtained by sampling is compared against a synthetic data set from an idealized model. A hypothesis is proposed for the statistical relationship between the two data sets, and this is compared as an alternative to an idealized null hypothesis that proposes no relationship between two data sets. The comparison is deemed statistically significant if the relationship between the data sets would be an unlikely realization of the null hypothesis according to a threshold probability—the significance level. Hypothesis tests are used in determining what outcomes of a study would lead to a rejection of the null hypothesis for a pre-specified level of significance. The process of distinguishing between the null hypothesis and the alternative hypothesis is aided by identifying two conceptual types of errors (type 1 & type 2), and by specifying parametric limits on e.g. how much type 1 error will be permitted.
An alternative framework for statistical hypothesis testing is to specify a set of statistical models, one for each candidate hypothesis, and then use model selection techniques to choose the most appropriate model.[2] The most common selection techniques are based on either Akaike information criterion or Bayes factor.
Statistical hypothesis testing is sometimes called confirmatory data analysis. It can be contrasted with exploratory data analysis, which may not have pre-specified hypotheses.
 
        
        
        
Answer:
heartbroken 
Explanation:
it is the saddest amongst all 
 
        
                    
             
        
        
        
Answer: A. The attitude of the speaker
Explanation:
The tone of a speech tells the feelings and attitudes of the speaker towards the subject they are speaking on. Sometimes, the tone is all that is needed to convince the listener of the claims made by the speaker. 
The tone can show whether the speaker is passionate about the subject or lackadaisical about it. Powerful leaders throughout history have relied on using a passionate tone in their speeches that convinced people to follow them and till this day, it is the passion in the tone of speeches by politicians that wins them a lot of votes. 
 
        
             
        
        
        
Answer: impel
Explanation:
The definition that fits best on the sentence is impel. Impel is defined as the urge, motivation or drive to achieve a particular thing.
In this case, we are told that Williams became the best tennis player in the world because she had a personal drive like no other. This shows that she was impelled and had a force to achieve her aim.