Question

(a) List three criteria to make decision about the null hypothesis in inferential statistics. (b) When will you reject the null hypothesis using those criteria?

Answer 1

A) Since for any testing problem we have two hypothesis null and alternative----our main focus is on possible way of rejection of null hypothesis under consideration that it is true.

3 criteria to make decision about the null hypothesis--------

since on the basis of given data and hypothesis we make a test statistic and calculate its value

1) on the basis of comparison between critical value and computed value of test statistic

2) on the basis of level and p-value

3) on the basis of confidence interval made

B) Possible way of rejection of null hypothesis in above conditions-

1) when alternative is

one sided upper tail, if t calculated is greater than t critical

one sided lower tail, if t calculated is lower than t critical

two sided, if mod value of t calculated is greater than t critical

2) if P- value is less than the level, we reject null hypothesis

3) if the value of parameter defined in null hypothesis is not contained in confidence interval, we reject the null hypothesis.