Question

Explain about Level of Significance.

Answer 1

Level Of Significance:-

The level of significance is defined as the probability of rejecting a null hypothesis by the test when it is really true, which is denoted as α. That is, P (Type I error) = α.

Confidence level:

Confidence level refers to the possibility of a parameter that lies within a specified range of values, which is denoted as c. Moreover, the confidence level is connected with the level of significance. The relationship between level of significance and the confidence level is c=1−α.

The common level of significance and the corresponding confidence level are given below:

• The level of significance 0.10 is related to the 90% confidence level.

• The level of significance 0.05 is related to the 95% confidence level.

• The level of significance 0.01 is related to the 99% confidence level.

The rejection rule is as follows:

Rejection region:

The rejection region is the values of test statistic for which the null hypothesis is rejected.

Non rejection region:

The set of all possible values for which the null hypothesis is not rejected is called the rejection region.

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