A Past Statistics Project Investigated How Well College Students Perceive

Multiple Choice

A past statistics project investigated how well college students perceive their own attractiveness. Twenty college students were recruited to participate in the study. As part of the study, each student rated their own attractiveness on a scale from 1 - 10. Each of the 20 participants also agreed to have their picture taken. All pictures were taken in similar lighting. In the second part of the study, a group of 79 college student volunteers (who were not part of the original group of 20) agreed to rate the attractiveness of each of the people in the pictures on a scale of 1 - 10. Researchers then averaged the attractiveness rating of the 79 "raters" (referred to as the societal rating) to compare to the self-rating to determine whether or not college students are accurate in their self-perceptions. Summary statistics are presented in the following table.
-A simulated null distribution of sample statistics is shown below. Explain how you would use this distribution to calculate the p-value.

A) Calculate the proportion of samples greater than or equal to observed statistic.
B) Calculate the proportion of samples beyond observed statistic.
C) Calculate the proportion of samples less than or equal to the observed statistic.