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

question 44

Multiple Choice

Use the following information to answer the question. A humanities professor is interesting in learning whether there is a
positive association between average online homework scores and the final class average in an online humanities course. The
computer output below shows the results from a regression model in which the final class average was predicted by the
average online homework score. Assume that the conditions of the linear regression model are satisfied. $$\begin{array} { | l l | } \hline { \text { LinRegTTest for } y = a + b x } \\\hline \beta > 0 & a = - 11.15986949 \\t = 8.285803594 & b = 1.111745514 \\p = 2.0898031 E - 4 & s = 4.349532611 \\d f = 124 & r = .9654613007 \\\hline\end{array}$$
-Choose the correct null and alternative hypothesis to test whether there is an association between final class average and average online homework scores.

• A) \(\mathrm { H } _ { 0 }\) : The correlation is positive.
• \(\mathrm { H } _ { \mathrm { a } }\) : The correlation is zero.
• B) \(\mathrm { H } _ { 0 }\) : There is no linear association between the final class average and the average online homework score.
• \(\mathrm { H } _ { \mathrm { a } }\) : There is a positive linear association between the final class average and the average online homework score.
• C) \(\mathrm { H } _ { 0 }\) : There is a linear association between the final class average and the average online homework score.
• \(\mathrm { H } _ { \mathrm { a } }\) : There is no linear association between the final class average and the average online homework score.
• D) None of these.

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Definitions:

Moses

A key figure in the Abrahamic religions, regarded as a prophet, lawgiver, and leader who liberated the Israelites from Egyptian slavery.

Jonah

A figure in the Hebrew Bible and the Quran, known for being swallowed by a giant fish or whale, and his story is often interpreted as a symbol of resurrection and forgiveness.

Diptych

An artwork consisting of two panels, often hinged together and can be closed like a book; commonly used in medieval and Renaissance times for religious paintings.

Fourth-Century Rome

A period marked by significant transformation within the Roman Empire, characterized by political instability and the spread of Christianity.