The dean of the College of Education of RAPA University has a strong belief that the graduates of the university's teacher education programs will have a better performance this year in the Licensure Examination for Teachers given by the Professional Regulation Commission. He believes that the proportion of successful examinees this year is greater than the 0.75 proportion obtained last year. What are the appropriate null and alternative hypotheses to test this belief?
The dean of the College of Education of RAPA University has a strong belief that the graduates of the university's teacher education programs will have a better performance this year in the Licensure Examination for Teachers given by the Professional Regulation Commission. He believes that the proportion of successful examinees this year is greater than the 0.75 proportion obtained last year. What are the appropriate null and alternative hypotheses to test this belief?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Read and answer the following problems on hypothesis testing concerning proportions.
(See the attached photo for the guidelines of format in each item)
1. The dean of the College of Education of RAPA University has a strong belief that the graduates of the university's teacher education programs will have a better performance this year in the Licensure Examination for Teachers given by the Professional Regulation Commission. He believes that the proportion of successful examinees this year is greater than the 0.75 proportion obtained last year. What are the appropriate null and alternative hypotheses to test this belief?
2. Previous pieces of evidence show that majority of the Filipinos are happy and contented with the policies and programs of the government. This time, a random sample of 100 Filipinos were selected and were asked if they were happy and contented with the policies and programs of the government. It was found that 65 out of 100 said that they are happy and contented. What conclusions can be made at 10% level of significance?
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