A quality control engineer is in charge of the manufacture of computer disks. Two different processes can be used to manufacture the disks. He suspects that the Kohler method produces a greater proportion of defects than the Russell method.

He samples 150 of the Kohler and 200 of the Russell disks and finds that 27 and 18 of them, respectively, are defective.

If Kohler is designated as "Group 1" and Russell is designated as "Group 2" , perform the appropriate test at a level of significance of 0.01.

1. The null and alternative hypotheses that should be tested are.

2. The null hypothesis will be rejected if the test statistic ( Z / t ) is ( greater than / less than ) .

3. The value of the test statistic is.

4. The p-value of the test is.

5. The null hypothesis should be ( rejected / not rejected ).

6. The same decision would be made with this test if the level of significance had been 0.05 rather than 0.01 ( true / false ).