Question

Suppose a random sample of 25 students found a correlation of r = –.53 between number of absences and final grade. Is this enough evidence to conclude that there is a relationship between absences and final grades in general? Use α = .05, two -tailed. Use “Tr” technique. write up also

Answer 1

Solution:

Here,

n = 25
r = -0.53

Substituting these value, we find the t statistic,

t* = -2.9947

Now, We calculate the P-value for the below-given hypotheses,

r = ρ

Hence,

With DF = 24 and t* = 2.9974

We find the p-value to be 0.003125

Hence, we reject the null hypothesis.

hence, there is a relation between absences and the final grades of the students.