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.
Correct Answer:
Verified
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