Answer:
And we got  so then the value for
 so then the value for  and then the confidence level is given by:
 and then the confidence level is given by: ![Conf=1-0.02=0.98[/tex[ or 98%Step-by-step explanation:A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  The margin of error is the range of values below and above the sample statistic in a confidence interval.  Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  [tex]p_1](https://tex.z-dn.net/?f=Conf%3D1-0.02%3D0.98%5B%2Ftex%5B%20or%2098%25%3C%2Fp%3E%3Cp%3E%3Cstrong%3EStep-by-step%20explanation%3A%3C%2Fstrong%3E%3C%2Fp%3E%3Cp%3EA%20%3Cstrong%3Econfidence%20interval%3C%2Fstrong%3E%20is%20%22a%20range%20of%20values%20that%E2%80%99s%20likely%20to%20include%20a%20population%20value%20with%20a%20certain%20degree%20of%20confidence.%20It%20is%20often%20expressed%20a%20%25%20whereby%20a%20population%20means%20lies%20between%20an%20upper%20and%20lower%20interval%22.%20%20%3C%2Fp%3E%3Cp%3EThe%20%3Cstrong%3Emargin%20of%20error%3C%2Fstrong%3E%20is%20the%20range%20of%20values%20below%20and%20above%20the%20sample%20statistic%20in%20a%20confidence%20interval.%20%20%3C%2Fp%3E%3Cp%3E%3Cstrong%3ENormal%20distribution%3C%2Fstrong%3E%2C%20is%20a%20%22probability%20distribution%20that%20is%20symmetric%20about%20the%20mean%2C%20showing%20that%20data%20near%20the%20mean%20are%20more%20frequent%20in%20occurrence%20than%20data%20far%20from%20the%20mean%22.%20%20%3C%2Fp%3E%3Cp%3E%5Btex%5Dp_1) represent the real population proportion for 1
 represent the real population proportion for 1
 represent the estimated proportion for 1
 represent the estimated proportion for 1
 is the sample size required for 1
 is the sample size required for 1
 represent the real population proportion for 2
 represent the real population proportion for 2
 represent the estimated proportion for 2
 represent the estimated proportion for 2
 is the sample size required for 2
 is the sample size required for 2
 represent the critical value for the margin of error
 represent the critical value for the margin of error  
The population proportion have the following distribution  
 
  
The confidence interval for the difference of two proportions would be given by this formula  
 
  
For this case we have the confidence interval given by: (-0.0313,0.2753). From this we can find the margin of erro on this way:

And we know that the margin of erro is given by:
 
 
We have all the values except the value for 
So we can find it like this:

And solving for  we got:
 we got:

And we can find the value for  with the following excel code:
 with the following excel code:
"=1-NORM.DIST(2.326,0,1,TRUE)" 
And we got  so then the value for
 so then the value for  and then the confidence level is given by:
 and then the confidence level is given by:  or 98%
 or 98%