Suppose the Proportion of First Year Students at a Particular $\mathrm { P } 1$

question 47

Multiple Choice

Suppose the proportion of first year students at a particular university who purchased used textbooks in the past year is $\mathrm { P } 1$ and the proportion of second year students at the university who purchased used textbooks in the past year is p2.A study found a 95% confidence interval for p1 - p2 is $( 0.232,0.421 )$ Give an interpretation of this confidence interval.

• A)We are 95% confident that at this university the proportion of second year students who bought used textbooks is between 23.2% and 42.1% higher than the proportion of first year students who bought used textbooks.
• B)We are 95% confident that at this university the proportion of first year students who bought used textbooks is between 23.2% and 42.1% higher than the proportion of second year students who bought used textbooks.
• C)We know that 95% of first year students bought between 23.2% and 42.1% more used textbooks than second year students at this university.
• D)We are 95% confident that first year students at this university bought between 23.2% and 42.1% more used textbooks than second year students.
• E)We know that 95% of all random samples done on the population will show that the proportion of first year students who bought used textbooks is between 23.2% and 42.1% higher than the proportion of second year students who bought used textbooks.

---

Definitions:

Drum Micrometer

A measuring tool specifically designed for checking the internal dimensions of brake drums to ensure they are within specification.

Grabbing Brakes

A condition where brakes apply too abruptly or with excessive force.

Glazed Linings

Refers to the condition where brake linings develop a shiny surface, reducing braking efficiency.

Fluid Contaminating

The process by which unwanted substances enter a fluid system, potentially causing damage or inefficiency in mechanical systems.