R3 A study was done to look at the relationship between number of vacation days employees take each yearand the number of sick days they take each year. The results of the survey are shown below.Vacation Days 11 15 2 9 5 12 14 3 07 10Sick Days0050-0 005 10 00a. Find the correlation coefficient: r = -0.80Round to 2 decimal places.b. The null and alternative hypotheses for correlation are:Ho: pvH: pv + 0The p-value is:(Round to four decimal places)c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the contextof the study.%3DThere is statistically significant evidence to conclude that there is a correlation between thenumber of vacation days taken and the number of sick days taken. Thus, the regression line isuseful.OThere is statistically significant evidence to conclude that an employee who takes morevacation days will take more sick days than an employee who takes fewer vacation days.O There is statistically insignificant evidence to conclude that there is a correlation between thenumber of vacation days taken and the number of sick days taken. Thus, the use of theregression line is not appropriate.O There is statistically signtficant evidence to conclude that an employee who takes morevacation days will take fewer sick days than an employee who takes fewer vacation days.d. - 0.64(Round to two decimal places)find the p value

Name: R3 A study was done to look at the relationship between number of vaca
Uploaded: 2024-03-20T06:46:14.000Z
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Description: R3 A study was done to look at the relationship between number of vacation days employees take each yearand the number of sick days they take each year. The results of the survey are shown below.Vacation Days 11 15 2 9 5 12 14 3 07 10Sick Days0050-0

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The t-test for correlation coefficient is calculated using the correlation value as below:…