Question

GradSchoolPlans: If the marketing office at a local university finds, through a sample survey, convincing evidence that the proportion of its seniors planning to go to graduate school directly after graduating is more than 25%, the University would change its career planning events for seniors to include more appropriate seminars for seniors headed to graduate school, not just the workforce. Thus they conduct a hypothesis test, H0: p= .25 and Ha: p> .25.

In this situation, what would be the meaning and consequence of a Type II error?

		They would determine that more than 25% of their seniors plan to go to graduate school when in fact it's not true, so they would leave current career planning events in place. This would deprive many seniors of more appropriate seminars and information about their own future as graduate students.
		They would determine that more than 25% of their seniors plan to go to graduate school when in fact it's not true, so they would end up changing the career planning events when they didn't need to. This would be a waste of University time and money and provide inappropriate programming to their seniors.
		They would determine that they can't say that more than 25% of their seniors plan to go to graduate school when in fact it is more than 25%, so they would leave current career planning events in place, which would deprive many seniors of more appropriate seminars and information about their own future as graduate students.
		They would determine that they can't say that more than 25% of their seniors plan to go to graduate school when in fact it is more than 25%, so they would end up changing the career planning events, when they didn't need to. This would be a waste of University time and money and provide inappropriate programming to their seniors.

Answer 1

Type II error is associated with the probability of not rejecting the false null hypothesis so in this case, it would be:

They would determine that they can't say that more than 25% of their seniors plan to go to graduate school when in fact it is more than 25%, so they would leave current career planning events in place, which would deprive many seniors of more appropriate seminars and information about their own future as graduate students.

Option C is correct.