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Use the Following Information to Answer the Question -Use the Histogram to Roughly Estimate the P-Value

question 3

Multiple Choice

Use the following information to answer the question. Math self-efficacy can be defined as one's belief in his or her own
ability to perform mathematical tasks. A college math professor wishes to find out if her students' math self-efficacy matches
reality. To do this she gives a math quiz then asks her students to rate their level of confidence in how well they did on the
quiz. She plans to test whether those who had little confidence that they did well on the quiz actually performed worse than
those who had a high level of confidence that they did well on the quiz. Shown below is the approximate sampling
distribution of the difference in mean quiz scores. The table below shows the summary statistics for the two groups. Assume
that all conditions for a randomization test have been satisfied. $\begin{array}{l}\begin{array} { | l | c | c | c | c | c | } \hline { \text { Group } } & \mathrm { n } & \text { Mean } & \text { Median } & \begin{array} { c } \text { Standard } \\\text { Deviation }\end{array} & \text { IQR } \\\hline \text { High Conf. } & 106 & 78.6 & 77.5 & 5.5 & 9.5 \\\hline \text { Low Conf. } & 211 & 73.2 & 72.5 & 4.2 & 8.3 \\\hline\end{array}\\\hline \text { Test Stat: Mean High Conf. - Mean Low Conf. } \\\hline \text { Number of simulations: } 350 \\\end{array}$
$Use the following information to answer the question. Math self-efficacy can be defined as one's belief in his or her own ability to perform mathematical tasks. A college math professor wishes to find out if her students' math self-efficacy matches reality. To do this she gives a math quiz then asks her students to rate their level of confidence in how well they did on the quiz. She plans to test whether those who had little confidence that they did well on the quiz actually performed worse than those who had a high level of confidence that they did well on the quiz. Shown below is the approximate sampling distribution of the difference in mean quiz scores. The table below shows the summary statistics for the two groups. Assume that all conditions for a randomization test have been satisfied. \begin{array}{l} \begin{array} { | l | c | c | c | c | c | } \hline { \text { Group } } & \mathrm { n } & \text { Mean } & \text { Median } & \begin{array} { c } \text { Standard } \\ \text { Deviation } \end{array} & \text { IQR } \\ \hline \text { High Conf. } & 106 & 78.6 & 77.5 & 5.5 & 9.5 \\ \hline \text { Low Conf. } & 211 & 73.2 & 72.5 & 4.2 & 8.3 \\ \hline \end{array}\\ \hline \text { Test Stat: Mean High Conf. - Mean Low Conf. } \\ \hline \text { Number of simulations: } 350 \\ \end{array} -Use the histogram to roughly estimate the p-value. Choose the answer that most closely approximates the p-value. (Approximations have been made to the nearest hundredth.) A) p=0.40 B) p=0.00 C) p=0.90 D) None of these$
-Use the histogram to roughly estimate the p-value. Choose the answer that most closely approximates the p-value. (Approximations have been made to the nearest hundredth.)

Definitions:

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Proxy Voting

The process by which a shareholder delegates their voting power to a representative, allowing them to vote at corporate meetings in their absence.

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