Part A: A researcher wants to determine if there is a relationship between a student's major and if they use pencils or pens. Perform the appropriate test based on the following data: Pencil Pen STEM 22 26 Non-STEM 28 22 (Rows:Major. Columns: Pen vs Pencil)
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Part A:
A researcher wants to determine if there is a relationship between a student's major and if they use pencils or pens. Perform the appropriate test based on the following data:
| Pencil | Pen | |
| STEM | 22 | 26 |
| Non-STEM | 28 | 22 |
(Rows:Major. Columns: Pen vs Pencil)
Part B:
Test the hypothesis that the same proportion of students find the following genres to be their favorite.
| Horror | Comedy | Action | Drama |
| 14 | 15 | 21 | 22 |
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