Answer:
a
Yes it  involves a statistical test
 The population parameter(s) of interest is  
    The sample size is  n =  100
     The average reaction time of the right hands for the right-handed participants  
     The average reaction time of the left hands for the left-handed participants   
 The null hypothesis is   ,
, 
The alternative hypothesis is 
b
Yes it  involves a statistical test
 The population parameter(s) of interest is  
    The sample size is  n =  100
     The average reaction time of the right hands for the right-handed participants  
     The average reaction time of the left hands for the left-handed participants   
 The null hypothesis is   ,
, 
The alternative hypothesis is 
c
Yes it  involves a statistical test
The population parameter(s) of interest is  
The percentage of people in the community living in a mobile home is denoted with  p 
The sample size is  n =  1000
The null hypothesis is   ,
, 
The alternative hypothesis is 
Step-by-step explanation:
Considering the first statement 
Testing 100 right-handed participants on the reaction time of their left and right hands to determine if there is evidence for the claim that the right hand reacts faster than the left.
 Yes, the analysis does involve a statistical test. 
The null hypothesis is   ,
, 
The alternative hypothesis is 
Here  is the average reaction time of the right hands for the right-handed participants
 is the average reaction time of the right hands for the right-handed participants
and   is the average reaction time of the left hands for the left-handed participants
 is the average reaction time of the left hands for the left-handed participants
Considering third statement  
Polling 1000 people in a large community to determine if there is evidence for the claim that the percentage of people in the community living in a mobile home is greater then 10%.
The percentage of people in the community living in a mobile home is denoted with  p 
The sample size is  n =  1000
The null hypothesis is   ,
, 
The alternative hypothesis is 