# 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.IDLength of Stay (x)Total Charge (y)156275397.241085129.46157.9

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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
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Step 1

Given data and calculation is shown below

Step 2

Correlation formula

Step 3

Pearson correlation coefficient (r) = 0.74
Sample size (n) =6
Formulation of Hypothesis
Null Hypothesis H0 :- ρ = 0
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