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

question 38

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.

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Definitions:

Stimulation Neglect

A condition wherein a child or individual receives insufficient cognitive and social stimulation, which can lead to developmental delays and emotional issues.

Infant Children

Very young offspring, typically those under one year of age.

Nourish Development

The process of providing the necessary nutrients and conditions for growth and health in humans, animals, or plants.

Male Victims

Men who have experienced harm or abuse, emphasizing the recognition and support for male experiences in contexts often dominated by other narratives.