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:

Capital Equipment

Long-term assets acquired or used by a business for the production of goods and services, such as machinery, buildings, and vehicles.

Market Price

The current price at which an asset or service can be bought or sold in a given market, determined by supply and demand.

Equilibrium Quantity

The amount of a good or service that is supplied and demanded at the equilibrium market price.

Marginal Product

The additional output resulting from the use of one more unit of a factor of production.