Use the Following Information to Answer the Question -Choose the Correct Observed Value of the Test Statistic and Professor

question 12

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 observed value of the test statistic and the p-value. Round to the nearest thousandth.

• A) \(t = 0.777 , p = 0.002\)
• B) \(t = 3.708 , p = 0.002\)
• C) \(t = 0.002 , p = 3.707\)
• D) \(t = 3.708 , p = 0.005\)

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Definitions:

Diminishing Marginal Utility

An economic principle that asserts the added satisfaction a consumer gains from consuming one more unit of a good or service decreases with each additional unit consumed.

Fundamental Analysis

The study of a company’s accounting statements and future prospects to determine its value

Undervalued Stocks

Stocks that are selling below their perceived actual value, often making them attractive for investment as they are expected to rise in value.

Subjective Measure

An evaluation based on personal opinions, feelings, or attitudes rather than on external facts or principles.