Question

1/ In clinical trials of 3066 patients taking treatment​ A, 790 reported nausea as a side effect. In clinical trials of 1013 patients taking treatment​ B, 216 reported nausea as a side effect. Researchers want to know whether the difference in sample proportions is statistically significant. Use the​ "Randomization test for two​ proportions" applet in StatCrunch with a seed of 27371. Obtain exactly 3000 runs of the applet. What is the​ P-value based this​ randomization?

​P- value= (Round to four decimal places as​ needed.)

2/The manufacturer of hardness testing equipment uses​ steel-ball indenters to penetrate metal that is being tested.​ However, the manufacturer thinks it would be better to use a diamond indenter so that all types of metal can be tested. Because of differences between the two types of​ indenters, it is suspected that the two methods will produce different hardness readings. The metal specimens to be tested are large enough so that two indentions can be made.​ Therefore, the manufacturer uses both indenters on each specimen and compares the hardness readings. Construct a​ 95% confidence interval to judge whether the two indenters result in different measurements.

​Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers.

Specimen   Steel ball   Diamond
1   51   53
2   57   55
3   61   63
4   71   74
5   68   69
6   54   55
7   65   68
8   51   51
9   53   56

Construct a​ 95% confidence interval to judge whether the two indenters result in different​ measurements, where the differences are computed as​ 'diamond minus steel​ ball'.

The lower bound is

The upper bound is (Round to the nearest tenth as​ needed.)

Pleasssssse answer both questions thanks a lot :-)

  

Answer 1