Mathematics, 05.05.2020 22:40 friendsalwaysbae

To determine if there is a relationship between grade performance and extracurricular participation, North Carolina State conducted a study of 112 students, recording the number of students in each of three extracurricular categories, and each of two grade categories.
Here are the results:

Good grades Poor grades
Low extra-curricular participation 11 2
Moderate extra-curricular participation 68 23
High extra-curricular participation 3 5

Using a significance level of 5%, based on the output which of the following is an appropriate conclusion:

A) the data provide sufficient evidence to conclude that extra-curricular participation and grade performance are independent.
B) the data do not provide sufficient evidence to conclude that extra-curricular participation and grade performance are independent.
C) the data provide sufficient evidence to conclude that extra-curricular participation and grade performance are related.
D) the data do not provide sufficient evidence to conclude that extra-curricular participation and grade performance are related.

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