Question

please complete the question with all calculations

Activity # 19: Correlations Scenario 2. A bank wants to know if there is a customers write checks and the number of times that they use is a relationship between the number of times their debit cards per week Person Checks Written Debit Card Uses 6 6 4 Scatter plot: Calculate the Correlation: What are the null and research hypotheses? what is the critical value for the correlation that you are examining? (α = .05, two-tail) Does your calculated correlation coefficient represent a significant relationship? Write your findings in APA format.

Answer 1

first we will find the correlation coefficient between the two variable.

Scatter Plot:

6.5 6.0 5.5 5.0 4.5 4.0 3.5 3.0 2.5 2.0 1.5 1.0 0.5 0.0 -1 0 4

correlation coefficient :

Step 1: Find X Y, X2 and Y2 as it was done in the table belovw. X. X 36 16 Y-Y 36 4 4 36 4 4 16 Step 2: Find the sum of every column to get: Step 3: Use the following formula to work out the correlation coefficient. 5.50-15 15 0.2778 -63-15 15-63-1]

where ρ corresponds to the population correlation. The sample size is n-5, so then the number of degrees of freedom is df = n-2-5-2-3 The corresponding critical correlation value Tc for a significance level of a = 0.05, for a two-tailed test is: た= 0.878 Observe that in this case, the null hypothesis Ho : ρ = 0 is rejected if |r> rc-0.878 Based on the sample correlation provided, we have that lrI-0.2278 < rc-0.878, from which is concluded that the null hypothesis is not rejected.

Hence we have no evidence that there is a relationship between the number of checks written and debit card use.