Use the Following Information to Answer the Question -Choose the Correct Null and Alternative Hypothesis to Test Whether

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 null and alternative hypothesis to test whether there is an association between final class average and number of message board posts.

A) $\mathrm { H } _ { 0 }$ : There is a linear association between the number of message board posts and the final class average.
$\mathrm { H } _ { \mathrm { a } }$ : There is no linear association between the number of message board posts and the final class average.
B) $\mathrm { H } _ { 0 }$ : The correlation is positive.
$\mathrm { H } _ { \mathrm { a } }$ : The correlation is zero.
C) $\mathrm { H } _ { 0 }$ : There is no linear association between the number of message board posts and the final class average.
$\mathrm { H } _ { \mathrm { a } }$ : There is a positive linear association between the number of message board posts and the final class average.
D) None of these.