Calculate the Pearson Correlation Coefficient for these two variables and b) test whether the correlation is significantly different from 0. Run the test at a 5% level of significance. Give each of the following for part b to receive full credit: 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show your work to receive full credit. Partial credit is available.
ID

Length of Stay (x)

Total Charge (y)

1

5

6

2

7

5

3

9

7.2

4

10

8

5

12

9.4

6

15

7.9

Given data and calculation is shown below
Correlation formula
Pearson correlation coefficient (r) = 0.74
Sample size (n) =6
Formulation of Hypothesis
Null Hypothesis H0 : ρ = 0
Alt...
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