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 parameter that is estimated by the confidence interval?
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 parameter that is estimated by the confidence interval?
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 parameter estimated by the confidence interval in this context is the difference between two population proportions, which is correctly denoted as $ p_1 $ - $ p_2 $. This notation is used because the question involves comparing proportions (percentages) of male and female students thinking about graduate school, not means or individual observations.

Use the Following Information for Questions: Many Undergraduate Students μ1 \mu_1 μ1​

Use the Following Information for Questions:
Many Undergraduate Students $\mu_1$