Using pearson's correlation Coefficient,
The value of t-score corresponding to the provide sample is 3.23...
Pearson's correlation coefficient :
Pearson's correlation method is the most commonly used method for numeric variables. Assign a value between −1 and 1. 0 is no correlation, 1 is completely positive correlation, -1 is completely negative correlation.
The correlation coefficient is denoted by "r".
Testing of significant correlation coefficient:
The formula for the test statistic is
t = ( r√(n-2) )/√1-r^2
where,
t-----> value of the test statistic
n----> sample size
r------> correlation coefficient
we have given that,
correlation coefficient of sample (r) = o.45
sample size (n)= 35
we have to calculate the value of the test statistic. putting all the values in above formula,
t = ( 0.45√(35-2) )/√(1 - (0.45)^2)
=> t = ( 0.45 √33)/√(1-0.202) = 2.58/0.79
=> t = 3.23
Hence, the t-score corresponding to provide sample is 3.23..
To learn more about Pearson's correlation, refer:
https://brainly.com/question/4117612
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