Use the following information for questions:
Many undergraduate students are thinking about getting a graduate degree. Do male and female students have equal opinions about this? A survey of undergraduate students at public universities in the state of California revealed the following results: Out of 265 female students, 131 were seriously thinking about applying to graduate school. Out of 233 male students, 130 were seriously thinking about applying to graduate school. We wish to compare the proportions of male and female students who are thinking about getting a graduate degree by calculating a confidence interval for the difference between males and females.
-What is the correct notation for the difference $ \frac{130}{233} - \frac{131}{265}$?
A) $ \mu_1 $ - $ \mu_2 $
B) $ \overline{x_1} $ - $ \overline{x_2} $
C) $ p_1 $ - $ p_2 $
D) $ \hat{p_1} $ - $ \hat{p_2} $

Question

Use the following information for questions:
 Many undergraduate students are thinking about getting a graduate degree. Do male and female students have equal opinions about this? A survey of undergraduate students at public universities in the state of California revealed the following results: Out of 265 female students, 131 were seriously thinking about applying to graduate school. Out of 233 male students, 130 were seriously thinking about applying to graduate school. We wish to compare the proportions of male and female students who are thinking about getting a graduate degree by calculating a confidence interval for the difference between males and females.
-What is the correct notation for the difference $ \frac{130}{233} - \frac{131}{265}$?
A) $ \mu_1 $ - $ \mu_2 $
B) $ \overline{x_1} $ - $ \overline{x_2} $
C) $ p_1 $ - $ p_2 $
D) $ \hat{p_1} $ - $ \hat{p_2} $

Quizplus · Accepted Answer

The notation $ \hat{p_1} $ - $ \hat{p_2} $ represents the difference between sample proportions, which is appropriate for comparing the proportions of male and female students thinking about graduate school.

Use the Following Information for Questions: Many Undergraduate Students 130233−131265 \frac{130}{233} - \frac{131}{265}233130​−265131​

Use the Following Information for Questions:
Many Undergraduate Students $\frac{130}{233} - \frac{131}{265}$