A study was done to look at the relationship between number of vacation days employees take each year and the number of sick days they take each year. The results of the survey are shown below....

A study was done to look at the relationship between number of vacation days employees take each year and the number of sick days they take each year. The results of the survey are shown below.

1. Find the correlation coefficient:  r=r=   Round to 2 decimal places.


2. The null and alternative hypotheses for correlation are:
   H0:H0:      == 0
   H1:H1:       ≠≠ 0
   The p-value is:    (Round to four decimal places)
   
   
   
   


3. Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. Select from the following answers.
   
   
   
   

   
   
   • There is statistically significant evidence to conclude that an employee who takes more vacation days will take fewer sick days than an employee who takes fewer vacation days .
   
   
   • There is statistically significant evidence to conclude that an employee who takes more vacation days will take more sick days than an employee who takes fewer vacation days.
   
   
   • There is statistically significant evidence to conclude that there is a correlation between the number of vacation days taken and the number of sick days taken. Thus, the regression line is useful.
   
   
   • There is statistically insignificant evidence to conclude that there is a correlation between the number of vacation days taken and the number of sick days taken. Thus, the use of the regression line is not appropriate.