Discuss the below:
"Using the .05 cutoff figure, find an appropriate critical region for testing the null hypothesis 'theta is greater than or equal to .154 against the alternate hypothesis 'theta is less than .154' and provide a Neyman-Pearson analysis.".
Background facts for the problem:
Q: In the county, 15.4 % of certified teachers were African-American. Of the last 405 hires, the school district had hired only 15 African-American teachers. In a discrimination suit, the plaintiff argued that this was unlikely to happen by chance. Thus the significance testing.
Attachment:- Simple Probability.rar