Asked by Michael Clifford on May 06, 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 reevaluated its retention rate using a random sample of 352 students and retained 18 students.Should the university continue its new programs? Test an appropriate hypothesis using α = 0.10 and state your conclusion.Be sure the appropriate assumptions and conditions are satisfied before you proceed.
Random Sample
A sample drawn in such a way that every member of the population has an equal chance of being selected.
Retention Rate
A metric usually used to measure the percentage of individuals or employees who remain engaged with an institution, company, or program over a given period.
Null Hypothesis
A statement used in statistical testing, which proposes that no significant difference exists between certain characteristics of a population.
- Get acquainted with and interpret the critical role of p-values in hypothesis verification processes.
- Garner insights about the impact of error levels (α) in hypothesis testing on the decision-making paradigm.
- Apply appropriate hypothesis tests to real-world situations.
Verified Answer
JS
Jolina SantosMay 11, 2024
Final Answer :
H0\mathrm { H } _ { 0 }H0 : p = 0.04; HA\mathrm { H } _ { \mathrm { A } }HA : p > 0.04; z = 1.07; P-value = 0.1423.The P-value of 0.1423 is greater than the alpha level of 0.10.At the alpha level of 0.10,there is insignificant evidence to indicate that the university should continue with the new programs.
Learning Objectives
- Get acquainted with and interpret the critical role of p-values in hypothesis verification processes.
- Garner insights about the impact of error levels (α) in hypothesis testing on the decision-making paradigm.
- Apply appropriate hypothesis tests to real-world situations.