In Team-Teaching, Two or More Teachers Lead a Class $\mathrm { r } = - 0.28$

Essay

In team-teaching, two or more teachers lead a class. An researcher tested the use of team-teaching in mathematics education. Two of the variables measured on each sample of 182 mathematics teachers were years of teaching experience x and reported success rate y (measured as a percentage) of team-teaching mathematics classes.

a. The researcher hypothesized that mathematics teachers with more years of experience will report higher perceived success rates in team-taught classes.
State this hypothesis in terms of the parameter of a linear model relating x to y.
b. The correlation coefficient for the sample data was reported as $\mathrm { r } = - 0.28$ . Interpret this result.
c. Does the value of r support the hypothesis? Test using $\alpha = .05$