void page8() {
  background(255);

  generateGraph();
  image(pg, 180, 20);

  String t = "Exploring hypothesis testing";
  textFont(myboldfont, 18);
  text(t, 30, 44);
  textFont(myfont, 18);

  if ((aStudy.known == 1) || (aStudy.samplesize>30)) {
    t = "N(0,1)";
    text(t, 408, 60);
  }
  else {
    t = "t" + nf(aStudy.samplesize-1, 1);
    if(aStudy.samplesize == 10)
    {
       text(t, 423, 60);
    }
    else
    {
     text(t, 418, 60);
    }
  }
  

  if ((aStudy.known == 1) || (aStudy.samplesize>30)) {
    t = "The test statistic, z*, equals " + nf(testvalue, 1, 4) + " and the area to the left of z* (left-tailed value) is " + nf(zvalue, 1, 4)+".";
  }
  else {
    t = "The test statistic, t*, equals " + nf(testvalue, 1, 4) + " and the area to the left of t* (left-tailed value) is " + nf(zvalue, 1, 4)+".";
  }
  drawStrings(t, 80, 250, 25);

  t = "Null Hypothesis:";
  textFont(myfont, 18);
  text(t, 80, 310);  
  image(hyp0, 220, 295);

  t = "Alternative Hypothesis:";
  text(t, 80, 345);

  if (rel == 0) {
    image(hyp1, 270, 331);
    t = "(right-tailed)";
  } 
  else if (rel == 1) {
    image(hyp2, 270, 331);
    t = "(left-tailed)";
  } 
  else {   
    image(hyp3, 270, 331);
    t = "(two-tailed)";
  }
  text(t, 400, 345);

  if (rel == 0) {
    t = "Thus, the p-value equals the total probability, which is 1, minus the left-tailed value: ";
    p = 1.0-zvalue;
    t += "1 - " + nf(zvalue, 1, 4) + " = " + nf(p, 1, 4)+".";
    drawStrings(t, 80, 379, 25);
  } 
  else if (rel == 1) {
    t = "Thus, the p-value equals the left-tailed value: ";
    p = zvalue;
    t += nf(p, 1, 4)+".";
    text(t, 80, 379);
  } 
  else {
    t = "Thus, the p-value equals the 2 times the minimum of the left-tailed and right-tailed values: ";
    if (zvalue<0.5) {
      p = 2.0*zvalue;
      t += "2 * " + nf(zvalue, 1, 4) + " = " +nf(p, 1, 4)+".";
    } 
    else {
      p = (1.0-zvalue)*2.0;
      t += "2 * (1 - " + nf(zvalue, 1, 4) + ") = " + nf(p, 1, 4)+".";
    }
    drawStrings(t, 80, 379, 25);
  }

  if (p<0.05) {
    t = "Conclusion: Reject the null hypothesis";
  }
  else {
    t= "Conclusion: Can not reject the null hypothesis";
  }
  text(t, 170, 435);

  t = "THE END. Click the right arrow for a new problem";
  text(t, 150, 470);

  bg.setVisible(true);
  bl.setVisible(true);
  bd.setVisible(true);
}