A University Wants to Increase Its Retention Rate of 4

question 40

Multiple Choice

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,in 2014 the university reevaluated its retention rate using a random sample of 352 students and found the retention rate at 5%.Create a 95% confidence interval for the proportion of students (in 2014) who had been retained.

• A)Based on the data,we are 95% confident the proportion of students in 2004 who had been retained is between 1.95% and 7.05%.
• B)Based on the data,we are 95% confident the proportion of students in 2004 who had been retained is between 4% and 6%.
• C)Based on the data,we are 95% confident the proportion of students in 2004 who had been retained is between 1.16% and 8.84%.
• D)Based on the data,we are 95% confident the proportion of students in 2004 who had been retained is between 2.72% and 7.28%.
• E)Based on the data,we are 95% confident the proportion of students in 2004 who had been retained is between 1.95% and 6.05%.

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Definitions:

Power Curve

A graph of the probability of rejecting H0 for all possible values of the population parameter not satisfying the null hypothesis. The power curve provides the probability of correctly rejecting the null hypothesis.

Null Hypothesis

A hypothesis used in statistics that suggests there is no significant effect or difference, serving as a default position that there is no association between two measured phenomena.

Probability

A measure of the likelihood or chance that a particular event will occur, expressed on a scale from 0 to 1.

Null Hypothesis

A statement of no effect or no difference, used as a default assumption until evidence indicates otherwise.