Professor wants to explore the relationship between the positive review received per day and the total number of orders received per day on Amazon

Professor wants to explore the relationship between the positive review received per day and the total number of orders received per day on Amazon. Professor randomly selected 7 amazon product links. The data is presented in the table below.

 = 42, =1764,  = 49, =393,  = 339

Conduct a hypothesis test using the following steps. Set alpha =.05, two-tailed

Step 1: State the hypotheses in words and symbols                                                    

Step 2:  Set up the criteria for making the decision, that is find the critical value   

Step 3:  Summarize the data into the appropriate test-statistic. That is, compute the correlation.                   

Step4: Evaluate the Null Hypothesis   ( Reject or Fail to Reject )                   

Step5: State your conclusion                                                                            

What proportion of the variability of the number of orders received can be explained by the variability of the number of positive reviews received?