Asked by
Meron Meaza
on Oct 12, 2024
Verified
A university wants to increase its retention rate of 4% for graduating students from the previous year.After implementing several new programs during the last two years,the university conducts a hypothesis test to determine if the retention rate has increased and obtains a P-value of 0.075.What is reasonable to conclude about the new programs using α = 0.05?
A) There is a 7.5% chance of the new programs having no effect on the retention rate.
B) We can say there is a 7.5% chance of seeing the new programs having an effect on the retention rate in the results we observed from natural sampling variation.We conclude the new programs are more effective.
C) There is a 92.5% chance of the new programs having no effect on the retention rate.
D) If the new programs have no effect on the retention rate,then there is only a 7.5% chance of seeing the increase in the retention rate that we observed (or higher) from natural sampling variation.At α = 0.05,we reject the null hypothesis that the new programs have no effect on the retention rate and conclude that the programs have been effective in increasing the retention rate.
E) If the new programs have no effect on the retention rate,then there is only a 7.5% chance of seeing the increase in the retention rate that we observed (or higher) from natural sampling variation.At α = 0.05,we fail to reject the null hypothesis that the new programs have no effect on the retention rate.There is insufficient evidence to conclude that the programs have been effective in increasing the retention rate.
Retention Rate
The percentage of individuals or items that remain in a system or process over a period, often used to measure customer or employee loyalty.
Null Hypothesis
The default hypothesis that there is no relationship or difference between certain phenomena or variables, tested for possible rejection in statistical analysis.
P-Value
A measure in statistics that helps determine the significance of results, indicating the probability of observing the given results if the null hypothesis is true.
- Understand thoroughly and articulate the importance of p-values in hypothesis assessment.
- Develop a comprehension of the implications of error levels (α) in hypothesis testing on decision-making tactics.
- Appraise the effectiveness of measures by scrutinizing results from hypothesis testing.
Verified Answer
NN
Learning Objectives
- Understand thoroughly and articulate the importance of p-values in hypothesis assessment.
- Develop a comprehension of the implications of error levels (α) in hypothesis testing on decision-making tactics.
- Appraise the effectiveness of measures by scrutinizing results from hypothesis testing.