Use the Following Information to Answer the Question -Choose the Correct Decision Regarding the Null Hypothesis and the Professor

Multiple Choice

Use the following information to answer the question. A statistics professor is interested in learning whether there is a
positive association between number of posts by online students on a message board and the final class average in an online
statistics course. The computer output below shows the results from a regression model in which the final class average was
predicted by the number of message board posts. Assume that the conditions of the linear regression model are satisfied. $$\begin{array} { | l l | } \hline { \text { LinRegTTest for } y = a + b x } \\\hline \beta > 0 & a = 69.7104476 \\t = 3.707824045 & b = .8144278607 \\p = 0.0024306618 & s = 5.14275481 \\d f = 119 & r = .7774060152 \\\hline\end{array}$$
-Choose the correct decision regarding the null hypothesis and the correct conclusion. State your conclusion using a significance level of 5%.

A) Fail to reject $\mathrm { H } _ { 0 }$ . There is enough evidence to conclude that the final class average is positively associated with the number of message board posts.
B) Fail to reject $\mathrm { H } _ { 0 }$ . There is not enough evidence to conclude that the final class average is positively associated with the number of message board posts.
C) Reject $\mathrm { H } _ { 0 }$ . There is enough evidence to conclude that the final class average is positively associated with the number of message board posts.
D) Reject $\mathrm { H } _ { 0 }$ . There is not enough evidence to conclude that the final class average is positively associated with the number of message board posts.