c.What is the p-value? Explain your conclusion in the context of the question.
The following needs to be tested:
H_0: = 0
H_A: 0
where corresponds to the population correlation.
The sample size is n = 6 , so then the number of degrees of freedom is df = n - 2 = 6 - 2 = 4.
test dtatistc, t =
t =
t =
t = 2.89
t_critical for two tailed test = 2.776
Since, |t| = 2.89 > t_c = 2.776 , null hypothesis is rejected
Using , p value = 0.954
Since, p > alpha ( 0.05 ), we reject null hypothesis.
Hence the correlation is not equal to 0
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