[SalesForce] How to pass a parameter from component to a Visualforce page

You don't show your declaration of the boolean object in your controller. That would be very helpful.

A Boolean will have a value of either 'true' or 'false'. To work around that issue, you likely need to do something along the lines of the following:

Boolean result1 = 'false';
if(valueOf(mirObj.abletoUpdatePriority) = 'sucess') result1 = 'true';
else if(valueOf(mirObj.abletoUpdatePriority) = 'fail') result1 = 'false';

Depending on the logic in the rest of your controller, you may need to do the opposite like below:

if(result1 == 'true') mirObj.abletoUpdatePriority = 'sucess';
else if(result1 == 'false') mirObj.abletoUpdatePriority = 'fail';

Without seeing the rest of your controller, I really couldn't say. I hope this at least points you in the correct direction toward solving your issue.

Cannot take credit for this :

How do I pass a parameter from component to a Visualforce page?

Since your component lives separated from the page any change on the component never calls the controller thereby the value of the fullname string is never set. To overcome this we use an action support to call the controller on the input field change event,

controller: ( Add your extra code over this)

public class Job_Applicant_DetailsController {
public string FullName{get;set;}
// This method is nothing but a dummy method to support the action support.
public void updateFname(){
}
}

component:

<apex:component id="Job_Applicant_Details" controller="Job_Applicant_DetailsController">
<apex:attribute name="fName" type="String" assignTo="{!FullName}" description="Fullname of the applicant"/>
<apex:outputpanel id="panel" >
    <apex:form id="frmApplicant">
        <apex:outputlabel value="Name"/><br></br>
        <apex:inputtext id="FullName" value="{!fName}">
            <apex:actionsupport event="onchange" action="{!updateFname}"/>
        </apex:inputtext>
</apex:form>
</apex:outputpanel>

Page:

<apex:page controller="Job_Applicant_DetailsController">
<c:comp_Test fName="{!FullName}"/>
Value passed from component :<b style="color:red">{!Fullname}</b> <br/>
        <apex:form >
            <apex:outputpanel >
                        <apex:outputlabel value="Skills"/>
                        <br></br>
                        <br></br>
                   <apex:commandbutton id="btn_submit" value="Submit"/>
            </apex:outputpanel>
            </apex:form>
</apex:page>