i. Two types of possible errors always exist when testing hypotheses-a Type I error, in which the null hypothesis is rejected when it should not have been rejected, and a Type II error in which the null hypothesis is not rejected when it should have been rejected.
Ii) A test statistic is a value determined from sample information collected to test the null hypothesis.
iii. If we do not reject the null hypothesis based on sample evidence, we have proven beyond doubt that the null hypothesis is true.
A) (i), (ii) and (iii) are all correct statements
B) (i) is a correct statement but not (ii) or (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (i) and, (ii) are correct statements but not (iii).
E) All statements are false

Question

i. Two types of possible errors always exist when testing hypotheses-a Type I error, in which the null hypothesis is rejected when it should not have been rejected, and a Type II error in which the null hypothesis is not rejected when it should have been rejected.
Ii) A test statistic is a value determined from sample information collected to test the null hypothesis. 
iii. If we do not reject the null hypothesis based on sample evidence, we have proven beyond doubt that the null hypothesis is true.
A) (i), (ii) and (iii) are all correct statements
B) (i) is a correct statement but not (ii) or (iii).
C) (i) and, (iii) are correct statements but not (ii).
D) (i) and, (ii) are correct statements but not (iii).
E) All statements are false

Quizplus · Accepted Answer

Statement (i) correctly describes Type I and Type II errors. Statement (ii) correctly defines a test statistic. Statement (iii) is incorrect because failing to reject the null hypothesis does not prove it is true; it only suggests there is not enough evidence against it.

I Two Types of Possible Errors Always Exist When Testing