confidence interval calculation and z score The 2019 Stack Overflow Developer Survey Results Are InProbability about confidence intervalGeneral method to find exact confidence interval?Derive confidence interval given an empirical bootstrap distributionHelp following a published calculation of a prediction confidence interval for a prediction made from a simple ODEConfidence interval for varianceConfidence interval calculationConfidence interval for difference confidence levelMLE, Confidence Interval, and Asymptotic DistributionsFind a 90% confidence interval for the population varianceConfidence Interval and Central Limit Theorem

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confidence interval calculation and z score



The 2019 Stack Overflow Developer Survey Results Are InProbability about confidence intervalGeneral method to find exact confidence interval?Derive confidence interval given an empirical bootstrap distributionHelp following a published calculation of a prediction confidence interval for a prediction made from a simple ODEConfidence interval for varianceConfidence interval calculationConfidence interval for difference confidence levelMLE, Confidence Interval, and Asymptotic DistributionsFind a 90% confidence interval for the population varianceConfidence Interval and Central Limit Theorem










1












$begingroup$


I have these 2 examples:



enter image description here



and



enter image description here



in step 1 of solution, for the first one we have 1-0.9 but for the second one we just have 0.95



Why this happened?










share|cite|improve this question









New contributor




CFD is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$
















    1












    $begingroup$


    I have these 2 examples:



    enter image description here



    and



    enter image description here



    in step 1 of solution, for the first one we have 1-0.9 but for the second one we just have 0.95



    Why this happened?










    share|cite|improve this question









    New contributor




    CFD is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.







    $endgroup$














      1












      1








      1





      $begingroup$


      I have these 2 examples:



      enter image description here



      and



      enter image description here



      in step 1 of solution, for the first one we have 1-0.9 but for the second one we just have 0.95



      Why this happened?










      share|cite|improve this question









      New contributor




      CFD is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.







      $endgroup$




      I have these 2 examples:



      enter image description here



      and



      enter image description here



      in step 1 of solution, for the first one we have 1-0.9 but for the second one we just have 0.95



      Why this happened?







      statistics confidence-interval






      share|cite|improve this question









      New contributor




      CFD is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      share|cite|improve this question









      New contributor




      CFD is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      share|cite|improve this question




      share|cite|improve this question








      edited Apr 8 at 1:41









      gt6989b

      35.8k22557




      35.8k22557






      New contributor




      CFD is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      asked Apr 8 at 1:40









      CFDCFD

      82




      82




      New contributor




      CFD is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.





      New contributor





      CFD is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.






      CFD is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.




















          2 Answers
          2






          active

          oldest

          votes


















          1












          $begingroup$

          They are referring to different z-tables.



          The first uses $P(z>z_0)=frac1-0.92=0.05$, while the second uses $P(0<z<z_0)=frac0.952=0.475$.



          For example, refer to the table:



          $hspace5cm$enter image description here



          It is $P(0<z<1.96)=0.475$ and $P(z>1.96)=0.025$.






          share|cite|improve this answer









          $endgroup$












          • $begingroup$
            How should I find out which area (between mean and z) or (beyond Z) I should choose? because both of these questions are the same but they considered different area!
            $endgroup$
            – CFD
            Apr 8 at 3:23










          • $begingroup$
            Confidence interval (given by confidence level) is always the central interval on the normal curve (within plus-minus standard error). One minus confidence level is the outside intervals on the normal curve (given by non-confidence level or error term $alpha$). Both tables should give the same critical value (or z-score), for example, in the above example $z_0=1.96$.
            $endgroup$
            – farruhota
            Apr 8 at 3:31










          • $begingroup$
            Thanks. I don't know why when I tried to find the z value between z and mean was different from beyond z. maybe I tried to find out the value from wrong chart
            $endgroup$
            – CFD
            Apr 8 at 3:35


















          0












          $begingroup$

          The first is asking for a $90%$ confidence interval, the other for a $95%$ confidence interval.






          share|cite|improve this answer









          $endgroup$












          • $begingroup$
            Ok, but why we have 1-0.9 in first step of question 1? why dont we have 1-.95 for the second one too?
            $endgroup$
            – CFD
            Apr 8 at 1:50











          Your Answer





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          2 Answers
          2






          active

          oldest

          votes








          2 Answers
          2






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          1












          $begingroup$

          They are referring to different z-tables.



          The first uses $P(z>z_0)=frac1-0.92=0.05$, while the second uses $P(0<z<z_0)=frac0.952=0.475$.



          For example, refer to the table:



          $hspace5cm$enter image description here



          It is $P(0<z<1.96)=0.475$ and $P(z>1.96)=0.025$.






          share|cite|improve this answer









          $endgroup$












          • $begingroup$
            How should I find out which area (between mean and z) or (beyond Z) I should choose? because both of these questions are the same but they considered different area!
            $endgroup$
            – CFD
            Apr 8 at 3:23










          • $begingroup$
            Confidence interval (given by confidence level) is always the central interval on the normal curve (within plus-minus standard error). One minus confidence level is the outside intervals on the normal curve (given by non-confidence level or error term $alpha$). Both tables should give the same critical value (or z-score), for example, in the above example $z_0=1.96$.
            $endgroup$
            – farruhota
            Apr 8 at 3:31










          • $begingroup$
            Thanks. I don't know why when I tried to find the z value between z and mean was different from beyond z. maybe I tried to find out the value from wrong chart
            $endgroup$
            – CFD
            Apr 8 at 3:35















          1












          $begingroup$

          They are referring to different z-tables.



          The first uses $P(z>z_0)=frac1-0.92=0.05$, while the second uses $P(0<z<z_0)=frac0.952=0.475$.



          For example, refer to the table:



          $hspace5cm$enter image description here



          It is $P(0<z<1.96)=0.475$ and $P(z>1.96)=0.025$.






          share|cite|improve this answer









          $endgroup$












          • $begingroup$
            How should I find out which area (between mean and z) or (beyond Z) I should choose? because both of these questions are the same but they considered different area!
            $endgroup$
            – CFD
            Apr 8 at 3:23










          • $begingroup$
            Confidence interval (given by confidence level) is always the central interval on the normal curve (within plus-minus standard error). One minus confidence level is the outside intervals on the normal curve (given by non-confidence level or error term $alpha$). Both tables should give the same critical value (or z-score), for example, in the above example $z_0=1.96$.
            $endgroup$
            – farruhota
            Apr 8 at 3:31










          • $begingroup$
            Thanks. I don't know why when I tried to find the z value between z and mean was different from beyond z. maybe I tried to find out the value from wrong chart
            $endgroup$
            – CFD
            Apr 8 at 3:35













          1












          1








          1





          $begingroup$

          They are referring to different z-tables.



          The first uses $P(z>z_0)=frac1-0.92=0.05$, while the second uses $P(0<z<z_0)=frac0.952=0.475$.



          For example, refer to the table:



          $hspace5cm$enter image description here



          It is $P(0<z<1.96)=0.475$ and $P(z>1.96)=0.025$.






          share|cite|improve this answer









          $endgroup$



          They are referring to different z-tables.



          The first uses $P(z>z_0)=frac1-0.92=0.05$, while the second uses $P(0<z<z_0)=frac0.952=0.475$.



          For example, refer to the table:



          $hspace5cm$enter image description here



          It is $P(0<z<1.96)=0.475$ and $P(z>1.96)=0.025$.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Apr 8 at 3:17









          farruhotafarruhota

          22k2942




          22k2942











          • $begingroup$
            How should I find out which area (between mean and z) or (beyond Z) I should choose? because both of these questions are the same but they considered different area!
            $endgroup$
            – CFD
            Apr 8 at 3:23










          • $begingroup$
            Confidence interval (given by confidence level) is always the central interval on the normal curve (within plus-minus standard error). One minus confidence level is the outside intervals on the normal curve (given by non-confidence level or error term $alpha$). Both tables should give the same critical value (or z-score), for example, in the above example $z_0=1.96$.
            $endgroup$
            – farruhota
            Apr 8 at 3:31










          • $begingroup$
            Thanks. I don't know why when I tried to find the z value between z and mean was different from beyond z. maybe I tried to find out the value from wrong chart
            $endgroup$
            – CFD
            Apr 8 at 3:35
















          • $begingroup$
            How should I find out which area (between mean and z) or (beyond Z) I should choose? because both of these questions are the same but they considered different area!
            $endgroup$
            – CFD
            Apr 8 at 3:23










          • $begingroup$
            Confidence interval (given by confidence level) is always the central interval on the normal curve (within plus-minus standard error). One minus confidence level is the outside intervals on the normal curve (given by non-confidence level or error term $alpha$). Both tables should give the same critical value (or z-score), for example, in the above example $z_0=1.96$.
            $endgroup$
            – farruhota
            Apr 8 at 3:31










          • $begingroup$
            Thanks. I don't know why when I tried to find the z value between z and mean was different from beyond z. maybe I tried to find out the value from wrong chart
            $endgroup$
            – CFD
            Apr 8 at 3:35















          $begingroup$
          How should I find out which area (between mean and z) or (beyond Z) I should choose? because both of these questions are the same but they considered different area!
          $endgroup$
          – CFD
          Apr 8 at 3:23




          $begingroup$
          How should I find out which area (between mean and z) or (beyond Z) I should choose? because both of these questions are the same but they considered different area!
          $endgroup$
          – CFD
          Apr 8 at 3:23












          $begingroup$
          Confidence interval (given by confidence level) is always the central interval on the normal curve (within plus-minus standard error). One minus confidence level is the outside intervals on the normal curve (given by non-confidence level or error term $alpha$). Both tables should give the same critical value (or z-score), for example, in the above example $z_0=1.96$.
          $endgroup$
          – farruhota
          Apr 8 at 3:31




          $begingroup$
          Confidence interval (given by confidence level) is always the central interval on the normal curve (within plus-minus standard error). One minus confidence level is the outside intervals on the normal curve (given by non-confidence level or error term $alpha$). Both tables should give the same critical value (or z-score), for example, in the above example $z_0=1.96$.
          $endgroup$
          – farruhota
          Apr 8 at 3:31












          $begingroup$
          Thanks. I don't know why when I tried to find the z value between z and mean was different from beyond z. maybe I tried to find out the value from wrong chart
          $endgroup$
          – CFD
          Apr 8 at 3:35




          $begingroup$
          Thanks. I don't know why when I tried to find the z value between z and mean was different from beyond z. maybe I tried to find out the value from wrong chart
          $endgroup$
          – CFD
          Apr 8 at 3:35











          0












          $begingroup$

          The first is asking for a $90%$ confidence interval, the other for a $95%$ confidence interval.






          share|cite|improve this answer









          $endgroup$












          • $begingroup$
            Ok, but why we have 1-0.9 in first step of question 1? why dont we have 1-.95 for the second one too?
            $endgroup$
            – CFD
            Apr 8 at 1:50















          0












          $begingroup$

          The first is asking for a $90%$ confidence interval, the other for a $95%$ confidence interval.






          share|cite|improve this answer









          $endgroup$












          • $begingroup$
            Ok, but why we have 1-0.9 in first step of question 1? why dont we have 1-.95 for the second one too?
            $endgroup$
            – CFD
            Apr 8 at 1:50













          0












          0








          0





          $begingroup$

          The first is asking for a $90%$ confidence interval, the other for a $95%$ confidence interval.






          share|cite|improve this answer









          $endgroup$



          The first is asking for a $90%$ confidence interval, the other for a $95%$ confidence interval.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Apr 8 at 1:42









          gt6989bgt6989b

          35.8k22557




          35.8k22557











          • $begingroup$
            Ok, but why we have 1-0.9 in first step of question 1? why dont we have 1-.95 for the second one too?
            $endgroup$
            – CFD
            Apr 8 at 1:50
















          • $begingroup$
            Ok, but why we have 1-0.9 in first step of question 1? why dont we have 1-.95 for the second one too?
            $endgroup$
            – CFD
            Apr 8 at 1:50















          $begingroup$
          Ok, but why we have 1-0.9 in first step of question 1? why dont we have 1-.95 for the second one too?
          $endgroup$
          – CFD
          Apr 8 at 1:50




          $begingroup$
          Ok, but why we have 1-0.9 in first step of question 1? why dont we have 1-.95 for the second one too?
          $endgroup$
          – CFD
          Apr 8 at 1:50










          CFD is a new contributor. Be nice, and check out our Code of Conduct.









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          CFD is a new contributor. Be nice, and check out our Code of Conduct.














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