A researcher wants to know if there is a relationship between the number of years an offender has spent in prison for a drug offense and the number of rearrests for drug offenses that offender has when they are released from prison (after a 5-year follow-up period).The researcher believes that there is a significant relationship between these two variables.Below is her sample: Number of Years in Prison- 6, 20, 18, 2, 4, 15, 1, 35, 16, 7

Number of Rearrests for Drug Offenses- 3, 1, 0, 5, 8, 0, 10, 2, 0, 10

A.Write the null hypothesis for this correlation (the research hypothesis is stated in the paragraph above)

B.Calculate Pearson's r from the above sample BY HAND.Show your work.

C. Check your work.Input the above data into EXCEL and run a correlation.Copy and paste the output into your homework. [If your hand calculation and the Excel calculation don't show the same result... check your work!!!!]

D. Using a .05 critical value for rejection, what is the correlation coefficient that is needed to reject the null hypothesis? [that is the CRITICAL VALUE] (See Table B.4 in your textbook) Make sure you use the appropriate designation (i.e. one- or two-tailed test).

E. Based on the EXCEL output and Table B.4, write the correlation and p-value in the correct form (r_(xy) = correlation coefficient, p < XX).

F. INTERPRET YOUR RESULTS. Remember to mention:

• Direction
• Strength
• Significant?
• What happens to the null hypothesis?
• So what?