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The superintendent has continued the examination of data and is now interested in attendance rates. Someone suggested to him that there might be a relationship

The superintendent has continued the examination of data and is now interested in attendance rates. Someone suggested to him that there might be a relationshipbetween the number of extra-curricular activities offered at a school and attendance rates, and he wants to see if the data confirms this. Use the data below to help the superintendent determine whether or not there is a relationship between the number of extra-curricular activities offered at a school and its attendance rates.

School

Number of Extra-Curricular Activities Offered

Attendance Rate

1

8

88.8

2

9

96.1

3

8

85.9

4

7

94.2

5

9

85.7

6

7

94.8

7

6

94.8

8

4

82.6

9

5

93.6

10

5

84.8

11

4

98.8

12

8

95.7

13

5

92.4

14

7

93.6

15

7

96.6

16

6

96.0

17

5

93.9

18

9

97.1

19

5

92.8

Questions

  1. What is the mean number of extra-curricular activities offered? What is the mean attendance rate? 2 points
  2. What are the standard deviations for the number of extra-curricular activities and attendance rates? 2 points
  3. State an appropriate null hypothesis for this analysis. 1 point
  4. Bonus (1 pt):State an appropriate research hypothesis for this analysis.
  5. What is the value of the correlation coefficient? Report the statistic without rounding. 1 point
  6. Based on the value of the correlation coefficient, how would you classify the strength of this relationship? 1 point
  7. Based on the information from the scenario, what is the appropriate value for the degrees of freedom? 1 point
  8. What is the reported level of significance? 1 point
  9. What conclusion can be drawn from this analysis? 1 point
  10. Present the results as they might appear in an article. This must include a table and narrative statement that reports and interprets the results of your analysis. 5 points

Note: The table must be created using your word processing program. Tables that are copied and pasted from SPSS are not acceptable. Remember, you can find an example of how to report the results of correlation analyses in table and narrative format in the supporting materials folder for this lesson.

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