Use the Following Information to Answer the Question

question 4

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.

-Carry out the randomization test. What is the professor's conclusion? Are differences in mean quiz scores due to chance?

• A)Reject H0. The professor should conclude that typical quiz scores for those with high confidence is greater than that of those with low confidence. The student's self- efficacy matches reality.
• B)Fail to reject H0. The professor should conclude that typical quiz scores for those with high confidence is greater than that of those with low confidence. The student's self- efficacy matches reality.
• C)Fail to reject H0. The professor should conclude that there is no difference in mean quiz scores for those with high confidence and those with low confidence. The student's self- efficacy does not match reality.
• D)Reject H0. The professor should conclude that there is no difference in mean quiz scores for those with high confidence and those with low confidence. The student's self- efficacy does not match reality.

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Definitions:

Milgram Experiment

A psychological experiment conducted by Stanley Milgram in the 1960s to study obedience to authority, where participants were instructed to administer electric shocks to another person.

Stanford University Prison Experiment

A psychological study conducted by Philip Zimbardo in 1971 at Stanford University, where students were assigned roles of prisoners and guards to explore the effects of perceived power.

Generalization

Drawing a conclusion about a certain characteristic of a population based on a sample from it.

Logical Support

The provision of reasons or evidence to justify a claim or argument.