IGNOU BECS 184 2026 2027 - Test the significance of the correlation coefficient considering

Question

Test the significance of the correlation coefficient considering α=0.05 and critical values obtained from t-distribution table is ±2.776.

08 Aug 2026

Answer :

Word Count : 702

The significance of a correlation coefficient is tested to determine whether the observed relationship between two variables is statistically significant or whether it could have occurred merely by chance. In Data Analysis, this test is commonly performed by converting the correlation coefficient into a t-statistic and comparing the calculated value with the critical value obtained from the t-distribution table. The null hypothesis and alternative hypothesis are formulated as follows: H₀: ρ = 0 There is no significant correlation between the two variables in the population. H₁: ρ ≠ 0 There is a significant correlation between the two variables in the population. Here, ρ represents the population correlation coefficient. Since the significance level is given as α = 0.05 and the test is two-tailed, the critical values are ±2.776. The appropriate test statistic for testing the significance of Pearson's correlation coefficient

______ ____ ____ __________ ____ ________ ___ _________ ___ __________.
____ _________ ____ _______ ___ ______.
______ ______ _______ __________ ___ __________ _____ __________.
_______ _______ __________ ________ ________ ____ ______ _______ _______ _____ _____.
_______ _________ _________ ______ _______ ________ _______ ____ _______ ________ __________.
______ ______ ____ ____ ____ _________ ______ _____ _______ ____.
___ _____ ______ _______ ___ ____ ____ __________ ___ ____ _________.
_____ _____ _________ ___ _____ _____ _____ _________ _______ _________ _________ _________.
____ ___ _____ ____ _____ _____.
______ _______ __________ _______ _______ ______ ______ _________.
_____ ________ __________ _________ _____ ______ ________.
________ _____ __________ _____ ____ ________ ________ ______ _____ _________ _________ ____.
________ ________ _________ ___ ____ __________ _______ ________ ___ ________ ___ _____.
___ __________ ____ ______ _________ _________ ______ _________ ___ _____ _______.
___ _______ _______ ________ ____ ___ ________ _______ __________ ______ ______.
____ _________ _______ ______ ________ _______ ____ ___.
______ _________ ____ ___ _________ ____ _____ ______ ___.
__________ _________ ____ _____ _____ _____ _______ ________ __________ _______ ______.
_________ ______ _________ _______ _______ ____ __________.
_____ _______ ________ _____ ______ _____ ________ ______ _______.
______ ___ _________ ______ ______ ________ __________ ____ _______.
________ _________ _________ ___ ___ ___ _______ _____ _______ __________.
______ _________ ______ ______ _______.
__________ _________ _____ ___ __________.
________ _____ ____ ___ ______ _______ _______ __________ ______.
_____ _________ _______ ____ _________ ______ _________ ______ ______.
_______ _________ __________ ____ _____.
__________ _________ ___ __________ ____ ______ _______ ___ _______ ____ ___ ____.
__________ __________ ______ _________ ____ __________ ________ __________ _______ _____ _______.
___ ______ ______ ______ ___ ___ ____ _______ ________.
________ ______ _______ ______ ___.
________ ___ _________ _________ ____ _________ ________ ________ ____ ________ _______ _________.
________ ___ _________ _______ ___ _____ ________ ____.
_________ _____ _____ _________ ________ _______ ___ ____ _____ ___ ________.
________ ___ __________ __________ _________ ___ ______ _________ _____.
______ _______ _________ ________ __________ ____ ___ _____ __________.
____ _____ _________ _______ ____ _______ _____ ___.
_____ _________ ____ ___ ____.
__________ __________ ____ ______ _________ ___.
_____ ____ ________ _________ ________ _______ ___ ________ ________ ______.
___ ___ __________ ____ ________ ____.
___ ____ ________ ______ _________.
_______ _______ __________ ____ _____ ______ ______ __________ ______ __________ ________ _________.
_____ ____ _________ ___ __________.
____ ___ __________ _________ ________ _______ ________ ___ ____ _____.
_______ _____ _____ __________ ____ ______ ______ __________ ________ __________.
_______ __________ __________ _____ ___.
_______ _______ _____ ________ ____ _______ ____ _____ _______ ______.
__________ _______ _______ ______ _______ ______ ________ _____ _______.
______ ____ ___ _______ ______ ________ ____.
_______ ____ ____ ________ _________ ___ ____ ___ _______ ____ ______.
______ ______ ________ _____ __________ _________.
_____ ____ ___ _________ ___ _______ ________ _________ ___ ____ _________.
__________ ___ ____ ____ _______.
_____ ___ ______ ___ ________ _____ ___.
___ _______ ___ __________ _______.
___ _____ ________ ______ ___.
___ _______ _____ ______ ______ ____ _____ ______ _________ _______.
__________ _______ _____ __________ ________ _______ __________ _______ ____.
_________ _______ ______ _____ _____ __________ ______ _________ ___.
___ ____ ______ ______ _____ __________ _______.
___ __________ ________ _________ _______ ______ _________ _______ _____ ____.
___ _________ _________ ____ ________ ______ _______ _________.
___ _________ ____ _______ _______.
_______ __________ __________ ______ ____ ______ _____ _______ ________ _________.
_________ ____ ____ _____ _____ _____ ___ ____.

IGNOU ACADEMY

Your IGNOU journey, made easier.

Solved Assignments
Study Notes
Guess Papers
Question Papers

Call Us WhatsApp

STUDY • PREPARE • SUCCEED

Skip in 10

IGNOU Solved Assignments Assignments Ignou Projects Project Previous Year Solved Exam Papers Notes Notes Sample Question Papers Sample Question Papers