A Psychology Instructor Gave a Five-Question True-False Quiz to Her $\begin{array}{l|cccccc}\text { Number Correct } & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \text { Observed } & 8 & 30 & 56 & 48 & 26 & 10\end{array}$

question 12

Multiple Choice

A psychology instructor gave a five-question true-false quiz to her class of 178 students. The results were as follows.
$\begin{array}{l|cccccc}\text { Number Correct } & 0 & 1 & 2 & 3 & 4 & 5 \\\hline \text { Observed } & 8 & 30 & 56 & 48 & 26 & 10\end{array}$

The instructor thinks that the students may have answered the questions by guessing, so tl probability that any given answer is correct is $0.5$ . Under the null hypothesis, the number of correct answers has a binomial distribution with 5 trials and success probability $0.5$ .
Perform a chi-square test of this hypothesis. Can you reject $H _ { 0 }$ at the $\alpha = 0.01$ level?

• A) Yes
• B) No

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Definitions:

Interpersonal Conflicts

Disputes or disagreements between individuals due to differences in opinions, behaviors, or interests.

Depression

A psychological condition marked by a continuous low mood or lack of enthusiasm for activities, which severely disrupts everyday functioning.

Personality Disorders

A group of mental disorders characterized by enduring maladaptive patterns of behavior, cognition, and inner experience.

Interpersonal Problem Areas

Issues within personal relationships that can lead to or exacerbate psychological distress, commonly addressed in therapy.